7(8n+12)=7(1+6n)

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Solution for 7(8n+12)=7(1+6n) equation:


Simplifying
7(8n + 12) = 7(1 + 6n)

Reorder the terms:
7(12 + 8n) = 7(1 + 6n)
(12 * 7 + 8n * 7) = 7(1 + 6n)
(84 + 56n) = 7(1 + 6n)
84 + 56n = (1 * 7 + 6n * 7)
84 + 56n = (7 + 42n)

Solving
84 + 56n = 7 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
84 + 56n + -42n = 7 + 42n + -42n

Combine like terms: 56n + -42n = 14n
84 + 14n = 7 + 42n + -42n

Combine like terms: 42n + -42n = 0
84 + 14n = 7 + 0
84 + 14n = 7

Add '-84' to each side of the equation.
84 + -84 + 14n = 7 + -84

Combine like terms: 84 + -84 = 0
0 + 14n = 7 + -84
14n = 7 + -84

Combine like terms: 7 + -84 = -77
14n = -77

Divide each side by '14'.
n = -5.5

Simplifying
n = -5.5

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