-70=-2(n+5)+7(4-6n)

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Solution for -70=-2(n+5)+7(4-6n) equation:


Simplifying
-70 = -2(n + 5) + 7(4 + -6n)

Reorder the terms:
-70 = -2(5 + n) + 7(4 + -6n)
-70 = (5 * -2 + n * -2) + 7(4 + -6n)
-70 = (-10 + -2n) + 7(4 + -6n)
-70 = -10 + -2n + (4 * 7 + -6n * 7)
-70 = -10 + -2n + (28 + -42n)

Reorder the terms:
-70 = -10 + 28 + -2n + -42n

Combine like terms: -10 + 28 = 18
-70 = 18 + -2n + -42n

Combine like terms: -2n + -42n = -44n
-70 = 18 + -44n

Solving
-70 = 18 + -44n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '44n' to each side of the equation.
-70 + 44n = 18 + -44n + 44n

Combine like terms: -44n + 44n = 0
-70 + 44n = 18 + 0
-70 + 44n = 18

Add '70' to each side of the equation.
-70 + 70 + 44n = 18 + 70

Combine like terms: -70 + 70 = 0
0 + 44n = 18 + 70
44n = 18 + 70

Combine like terms: 18 + 70 = 88
44n = 88

Divide each side by '44'.
n = 2

Simplifying
n = 2

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