How do you solve $-5(5n – 7) – 4 = 56$ ?

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Answer 1 · 2015-07-28T10:43:18

Expand the paranthesis and isolate $n$ on one side of the equation.

Your stating equation is

$-5(5n-7)-4 = 56$

First, use the distributive property of multiplication to get

$-5 * 5n -5 * (-7) - 4 = 56$

$-25n + 35 -4 = 56$

$-25n +31 = 56$

Next, add $-31$ to both sides of the equation to get

$-25n + color(red)(cancel(color(black)(31))) - color(red)(cancel(color(black)(31))) = 56 - 31$

$-25n = 25$

Finally, divide both sides of the equation by $-25$ to get

$(color(red)(cancel(color(black)(-25))) * n)/color(red)(cancel(color(black)(-25))) = 25/(-25)$

$n = color(green)(-1)$

How do you solve -5(5n – 7) – 4 = 56-5(5n – 7) – 4 = 56?