6(3-7n)-4(-8n+2)=-70

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Solution for 6(3-7n)-4(-8n+2)=-70 equation: 


Simplifying
6(3 + -7n) + -4(-8n + 2) = -70
(3 * 6 + -7n * 6) + -4(-8n + 2) = -70
(18 + -42n) + -4(-8n + 2) = -70

Reorder the terms:
18 + -42n + -4(2 + -8n) = -70
18 + -42n + (2 * -4 + -8n * -4) = -70
18 + -42n + (-8 + 32n) = -70

Reorder the terms:
18 + -8 + -42n + 32n = -70

Combine like terms: 18 + -8 = 10
10 + -42n + 32n = -70

Combine like terms: -42n + 32n = -10n
10 + -10n = -70

Solving
10 + -10n = -70

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + -10n = -70 + -10

Combine like terms: 10 + -10 = 0
0 + -10n = -70 + -10
-10n = -70 + -10

Combine like terms: -70 + -10 = -80
-10n = -80

Divide each side by '-10'.
n = 8

Simplifying
n = 8

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