8+7(n+1)=7+8n

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Solution for 8+7(n+1)=7+8n equation:


Simplifying
8 + 7(n + 1) = 7 + 8n

Reorder the terms:
8 + 7(1 + n) = 7 + 8n
8 + (1 * 7 + n * 7) = 7 + 8n
8 + (7 + 7n) = 7 + 8n

Combine like terms: 8 + 7 = 15
15 + 7n = 7 + 8n

Solving
15 + 7n = 7 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
15 + 7n + -8n = 7 + 8n + -8n

Combine like terms: 7n + -8n = -1n
15 + -1n = 7 + 8n + -8n

Combine like terms: 8n + -8n = 0
15 + -1n = 7 + 0
15 + -1n = 7

Add '-15' to each side of the equation.
15 + -15 + -1n = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 7 + -15
-1n = 7 + -15

Combine like terms: 7 + -15 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8

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