12=8(1n-7)+2(1+7n)

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Solution for 12=8(1n-7)+2(1+7n) equation:


Simplifying
12 = 8(1n + -7) + 2(1 + 7n)

Reorder the terms:
12 = 8(-7 + 1n) + 2(1 + 7n)
12 = (-7 * 8 + 1n * 8) + 2(1 + 7n)
12 = (-56 + 8n) + 2(1 + 7n)
12 = -56 + 8n + (1 * 2 + 7n * 2)
12 = -56 + 8n + (2 + 14n)

Reorder the terms:
12 = -56 + 2 + 8n + 14n

Combine like terms: -56 + 2 = -54
12 = -54 + 8n + 14n

Combine like terms: 8n + 14n = 22n
12 = -54 + 22n

Solving
12 = -54 + 22n

Solving for variable 'n'.

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

Add '-22n' to each side of the equation.
12 + -22n = -54 + 22n + -22n

Combine like terms: 22n + -22n = 0
12 + -22n = -54 + 0
12 + -22n = -54

Add '-12' to each side of the equation.
12 + -12 + -22n = -54 + -12

Combine like terms: 12 + -12 = 0
0 + -22n = -54 + -12
-22n = -54 + -12

Combine like terms: -54 + -12 = -66
-22n = -66

Divide each side by '-22'.
n = 3

Simplifying
n = 3

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