7n+30=-5+7(8n-2)

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Solution for 7n+30=-5+7(8n-2) equation:


Simplifying
7n + 30 = -5 + 7(8n + -2)

Reorder the terms:
30 + 7n = -5 + 7(8n + -2)

Reorder the terms:
30 + 7n = -5 + 7(-2 + 8n)
30 + 7n = -5 + (-2 * 7 + 8n * 7)
30 + 7n = -5 + (-14 + 56n)

Combine like terms: -5 + -14 = -19
30 + 7n = -19 + 56n

Solving
30 + 7n = -19 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
30 + 7n + -56n = -19 + 56n + -56n

Combine like terms: 7n + -56n = -49n
30 + -49n = -19 + 56n + -56n

Combine like terms: 56n + -56n = 0
30 + -49n = -19 + 0
30 + -49n = -19

Add '-30' to each side of the equation.
30 + -30 + -49n = -19 + -30

Combine like terms: 30 + -30 = 0
0 + -49n = -19 + -30
-49n = -19 + -30

Combine like terms: -19 + -30 = -49
-49n = -49

Divide each side by '-49'.
n = 1

Simplifying
n = 1

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