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

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


Simplifying
2(7 + n) + 2 = 6 + 4(-7 + -8n)
(7 * 2 + n * 2) + 2 = 6 + 4(-7 + -8n)
(14 + 2n) + 2 = 6 + 4(-7 + -8n)

Reorder the terms:
14 + 2 + 2n = 6 + 4(-7 + -8n)

Combine like terms: 14 + 2 = 16
16 + 2n = 6 + 4(-7 + -8n)
16 + 2n = 6 + (-7 * 4 + -8n * 4)
16 + 2n = 6 + (-28 + -32n)

Combine like terms: 6 + -28 = -22
16 + 2n = -22 + -32n

Solving
16 + 2n = -22 + -32n

Solving for variable 'n'.

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

Add '32n' to each side of the equation.
16 + 2n + 32n = -22 + -32n + 32n

Combine like terms: 2n + 32n = 34n
16 + 34n = -22 + -32n + 32n

Combine like terms: -32n + 32n = 0
16 + 34n = -22 + 0
16 + 34n = -22

Add '-16' to each side of the equation.
16 + -16 + 34n = -22 + -16

Combine like terms: 16 + -16 = 0
0 + 34n = -22 + -16
34n = -22 + -16

Combine like terms: -22 + -16 = -38
34n = -38

Divide each side by '34'.
n = -1.117647059

Simplifying
n = -1.117647059

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