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

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


Simplifying
8(2n + 2) = 7(8n + 6) + 7

Reorder the terms:
8(2 + 2n) = 7(8n + 6) + 7
(2 * 8 + 2n * 8) = 7(8n + 6) + 7
(16 + 16n) = 7(8n + 6) + 7

Reorder the terms:
16 + 16n = 7(6 + 8n) + 7
16 + 16n = (6 * 7 + 8n * 7) + 7
16 + 16n = (42 + 56n) + 7

Reorder the terms:
16 + 16n = 42 + 7 + 56n

Combine like terms: 42 + 7 = 49
16 + 16n = 49 + 56n

Solving
16 + 16n = 49 + 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.
16 + 16n + -56n = 49 + 56n + -56n

Combine like terms: 16n + -56n = -40n
16 + -40n = 49 + 56n + -56n

Combine like terms: 56n + -56n = 0
16 + -40n = 49 + 0
16 + -40n = 49

Add '-16' to each side of the equation.
16 + -16 + -40n = 49 + -16

Combine like terms: 16 + -16 = 0
0 + -40n = 49 + -16
-40n = 49 + -16

Combine like terms: 49 + -16 = 33
-40n = 33

Divide each side by '-40'.
n = -0.825

Simplifying
n = -0.825

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