7(5n+3)=8n-12

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Solution for 7(5n+3)=8n-12 equation: 


Simplifying
7(5n + 3) = 8n + -12

Reorder the terms:
7(3 + 5n) = 8n + -12
(3 * 7 + 5n * 7) = 8n + -12
(21 + 35n) = 8n + -12

Reorder the terms:
21 + 35n = -12 + 8n

Solving
21 + 35n = -12 + 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.
21 + 35n + -8n = -12 + 8n + -8n

Combine like terms: 35n + -8n = 27n
21 + 27n = -12 + 8n + -8n

Combine like terms: 8n + -8n = 0
21 + 27n = -12 + 0
21 + 27n = -12

Add '-21' to each side of the equation.
21 + -21 + 27n = -12 + -21

Combine like terms: 21 + -21 = 0
0 + 27n = -12 + -21
27n = -12 + -21

Combine like terms: -12 + -21 = -33
27n = -33

Divide each side by '27'.
n = -1.222222222

Simplifying
n = -1.222222222

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