-70=8(1+6n)-6(n-1)

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Solution for -70=8(1+6n)-6(n-1) equation:


Simplifying
-70 = 8(1 + 6n) + -6(n + -1)
-70 = (1 * 8 + 6n * 8) + -6(n + -1)
-70 = (8 + 48n) + -6(n + -1)

Reorder the terms:
-70 = 8 + 48n + -6(-1 + n)
-70 = 8 + 48n + (-1 * -6 + n * -6)
-70 = 8 + 48n + (6 + -6n)

Reorder the terms:
-70 = 8 + 6 + 48n + -6n

Combine like terms: 8 + 6 = 14
-70 = 14 + 48n + -6n

Combine like terms: 48n + -6n = 42n
-70 = 14 + 42n

Solving
-70 = 14 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
-70 + -42n = 14 + 42n + -42n

Combine like terms: 42n + -42n = 0
-70 + -42n = 14 + 0
-70 + -42n = 14

Add '70' to each side of the equation.
-70 + 70 + -42n = 14 + 70

Combine like terms: -70 + 70 = 0
0 + -42n = 14 + 70
-42n = 14 + 70

Combine like terms: 14 + 70 = 84
-42n = 84

Divide each side by '-42'.
n = -2

Simplifying
n = -2

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