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Formula
Solve the equation
$x-y-z = 10$
$x = y + z + 10$
 Solve a solution to $x$
$x \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } = 10$
 Move the rest of the expression except $x$ term to the right side and replace the sign 
$x = 10 \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ z }$
$x = \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ z }$
 Organize the expression 
$x = \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
$y = x - z - 10$
 Solve a solution to $y$
$\color{#FF6800}{ x } - y \color{#FF6800}{ - } \color{#FF6800}{ z } = 10$
 Move the rest of the expression except $y$ term to the right side and replace the sign 
$- y = 10 \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ z }$
$- y = \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ z }$
 Organize the expression 
$- y = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
$\color{#FF6800}{ - } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
 Change the sign of both sides of the equation 
$y = x - z - 10$
$z = x - y - 10$
 Solve a solution to $z$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } - z = 10$
 Move the rest of the expression except $z$ term to the right side and replace the sign 
$- z = 10 \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y }$
$- z = \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y }$
 Organize the expression 
$- z = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
$\color{#FF6800}{ - } \color{#FF6800}{ z } = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
 Change the sign of both sides of the equation 
$z = x - y - 10$
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