2n+10=8n+7(8n+8)

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Solution for 2n+10=8n+7(8n+8) equation:


Simplifying
2n + 10 = 8n + 7(8n + 8)

Reorder the terms:
10 + 2n = 8n + 7(8n + 8)

Reorder the terms:
10 + 2n = 8n + 7(8 + 8n)
10 + 2n = 8n + (8 * 7 + 8n * 7)
10 + 2n = 8n + (56 + 56n)

Reorder the terms:
10 + 2n = 56 + 8n + 56n

Combine like terms: 8n + 56n = 64n
10 + 2n = 56 + 64n

Solving
10 + 2n = 56 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
10 + 2n + -64n = 56 + 64n + -64n

Combine like terms: 2n + -64n = -62n
10 + -62n = 56 + 64n + -64n

Combine like terms: 64n + -64n = 0
10 + -62n = 56 + 0
10 + -62n = 56

Add '-10' to each side of the equation.
10 + -10 + -62n = 56 + -10

Combine like terms: 10 + -10 = 0
0 + -62n = 56 + -10
-62n = 56 + -10

Combine like terms: 56 + -10 = 46
-62n = 46

Divide each side by '-62'.
n = -0.7419354839

Simplifying
n = -0.7419354839

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