-5(-3+7n)-8(-3n+2)=10

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Solution for -5(-3+7n)-8(-3n+2)=10 equation: 


Simplifying
-5(-3 + 7n) + -8(-3n + 2) = 10
(-3 * -5 + 7n * -5) + -8(-3n + 2) = 10
(15 + -35n) + -8(-3n + 2) = 10

Reorder the terms:
15 + -35n + -8(2 + -3n) = 10
15 + -35n + (2 * -8 + -3n * -8) = 10
15 + -35n + (-16 + 24n) = 10

Reorder the terms:
15 + -16 + -35n + 24n = 10

Combine like terms: 15 + -16 = -1
-1 + -35n + 24n = 10

Combine like terms: -35n + 24n = -11n
-1 + -11n = 10

Solving
-1 + -11n = 10

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + -11n = 10 + 1

Combine like terms: -1 + 1 = 0
0 + -11n = 10 + 1
-11n = 10 + 1

Combine like terms: 10 + 1 = 11
-11n = 11

Divide each side by '-11'.
n = -1

Simplifying
n = -1

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