-8n+(1+5n)=-2(3n+7)

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Solution for -8n+(1+5n)=-2(3n+7) equation:


Simplifying
-8n + (1 + 5n) = -2(3n + 7)

Remove parenthesis around (1 + 5n)
-8n + 1 + 5n = -2(3n + 7)

Reorder the terms:
1 + -8n + 5n = -2(3n + 7)

Combine like terms: -8n + 5n = -3n
1 + -3n = -2(3n + 7)

Reorder the terms:
1 + -3n = -2(7 + 3n)
1 + -3n = (7 * -2 + 3n * -2)
1 + -3n = (-14 + -6n)

Solving
1 + -3n = -14 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
1 + -3n + 6n = -14 + -6n + 6n

Combine like terms: -3n + 6n = 3n
1 + 3n = -14 + -6n + 6n

Combine like terms: -6n + 6n = 0
1 + 3n = -14 + 0
1 + 3n = -14

Add '-1' to each side of the equation.
1 + -1 + 3n = -14 + -1

Combine like terms: 1 + -1 = 0
0 + 3n = -14 + -1
3n = -14 + -1

Combine like terms: -14 + -1 = -15
3n = -15

Divide each side by '3'.
n = -5

Simplifying
n = -5

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