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Formula
Expand the expression
$4 \left( 3a+4 \right) -5 \left( -3a+6 \right)$
$27 a - 14$
Organize polynomials
$\color{#FF6800}{ 4 } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) - 5 \left ( - 3 a + 6 \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ 12 } \color{#FF6800}{ a } + \color{#FF6800}{ 16 } - 5 \left ( - 3 a + 6 \right )$
$12 a + 16 \color{#FF6800}{ - } \color{#FF6800}{ 5 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
 Organize the expression with the distributive law 
$12 a + 16 + \color{#FF6800}{ 15 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 30 }$
$\color{#FF6800}{ 12 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 16 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 30 }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 12 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 16 } \color{#FF6800}{ - } \color{#FF6800}{ 30 } \right )$
$\left ( \color{#FF6800}{ 12 } \color{#FF6800}{ + } \color{#FF6800}{ 15 } \right ) \color{#FF6800}{ a } + \left ( 16 - 30 \right )$
 Arrange the constant term 
$\color{#FF6800}{ 27 } \color{#FF6800}{ a } + \left ( 16 - 30 \right )$
$27 a + \left ( \color{#FF6800}{ 16 } \color{#FF6800}{ - } \color{#FF6800}{ 30 } \right )$
 Arrange the constant term 
$27 a \color{#FF6800}{ - } \color{#FF6800}{ 14 }$
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