5(-8n+6)-7(6n-7)=-3

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Solution for 5(-8n+6)-7(6n-7)=-3 equation:


Simplifying
5(-8n + 6) + -7(6n + -7) = -3

Reorder the terms:
5(6 + -8n) + -7(6n + -7) = -3
(6 * 5 + -8n * 5) + -7(6n + -7) = -3
(30 + -40n) + -7(6n + -7) = -3

Reorder the terms:
30 + -40n + -7(-7 + 6n) = -3
30 + -40n + (-7 * -7 + 6n * -7) = -3
30 + -40n + (49 + -42n) = -3

Reorder the terms:
30 + 49 + -40n + -42n = -3

Combine like terms: 30 + 49 = 79
79 + -40n + -42n = -3

Combine like terms: -40n + -42n = -82n
79 + -82n = -3

Solving
79 + -82n = -3

Solving for variable 'n'.

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

Add '-79' to each side of the equation.
79 + -79 + -82n = -3 + -79

Combine like terms: 79 + -79 = 0
0 + -82n = -3 + -79
-82n = -3 + -79

Combine like terms: -3 + -79 = -82
-82n = -82

Divide each side by '-82'.
n = 1

Simplifying
n = 1

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