How do you simplify $(5 p - 3 q) - (- 3 p + 7 q)$ $(5p - 3q) - (-3p + 7q)$ ?

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Answer 1 · 2018-03-05T21:55:45

$8 p - 10 q$ $8p-10q$

$(5 p - 3 q) - (- 3 p + 7 q)$ $(5p-3q)-(-3p+7q)$

Distribute the negative sign into the parenthesis.
$- (- 3 p + 7 q) = + 3 p - 7 q$ $-(-3p+7q) = +3p -7q$

$= 5 p - 3 q + 3 p - 7 q$ $=5p-3q+3p-7q$

Combine like terms.
$= 8 p - 10 q$ $=8p-10q$

How do you simplify (5p - 3q) - (-3p + 7q)(5p−3q)−(−3p+7q)(5p - 3q) - (-3p + 7q)?