6(10-7n)=-42-8n

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Solution for 6(10-7n)=-42-8n equation:


Simplifying
6(10 + -7n) = -42 + -8n
(10 * 6 + -7n * 6) = -42 + -8n
(60 + -42n) = -42 + -8n

Solving
60 + -42n = -42 + -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.
60 + -42n + 8n = -42 + -8n + 8n

Combine like terms: -42n + 8n = -34n
60 + -34n = -42 + -8n + 8n

Combine like terms: -8n + 8n = 0
60 + -34n = -42 + 0
60 + -34n = -42

Add '-60' to each side of the equation.
60 + -60 + -34n = -42 + -60

Combine like terms: 60 + -60 = 0
0 + -34n = -42 + -60
-34n = -42 + -60

Combine like terms: -42 + -60 = -102
-34n = -102

Divide each side by '-34'.
n = 3

Simplifying
n = 3

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