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

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


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

Reorder the terms:
2(7 + 8n) + -2n = -5(8n + 8)
(7 * 2 + 8n * 2) + -2n = -5(8n + 8)
(14 + 16n) + -2n = -5(8n + 8)

Combine like terms: 16n + -2n = 14n
14 + 14n = -5(8n + 8)

Reorder the terms:
14 + 14n = -5(8 + 8n)
14 + 14n = (8 * -5 + 8n * -5)
14 + 14n = (-40 + -40n)

Solving
14 + 14n = -40 + -40n

Solving for variable 'n'.

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

Add '40n' to each side of the equation.
14 + 14n + 40n = -40 + -40n + 40n

Combine like terms: 14n + 40n = 54n
14 + 54n = -40 + -40n + 40n

Combine like terms: -40n + 40n = 0
14 + 54n = -40 + 0
14 + 54n = -40

Add '-14' to each side of the equation.
14 + -14 + 54n = -40 + -14

Combine like terms: 14 + -14 = 0
0 + 54n = -40 + -14
54n = -40 + -14

Combine like terms: -40 + -14 = -54
54n = -54

Divide each side by '54'.
n = -1

Simplifying
n = -1

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