8(1+6n)-5(6+n)=-65

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Solution for 8(1+6n)-5(6+n)=-65 equation: 


Simplifying
8(1 + 6n) + -5(6 + n) = -65
(1 * 8 + 6n * 8) + -5(6 + n) = -65
(8 + 48n) + -5(6 + n) = -65
8 + 48n + (6 * -5 + n * -5) = -65
8 + 48n + (-30 + -5n) = -65

Reorder the terms:
8 + -30 + 48n + -5n = -65

Combine like terms: 8 + -30 = -22
-22 + 48n + -5n = -65

Combine like terms: 48n + -5n = 43n
-22 + 43n = -65

Solving
-22 + 43n = -65

Solving for variable 'n'.

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

Add '22' to each side of the equation.
-22 + 22 + 43n = -65 + 22

Combine like terms: -22 + 22 = 0
0 + 43n = -65 + 22
43n = -65 + 22

Combine like terms: -65 + 22 = -43
43n = -43

Divide each side by '43'.
n = -1

Simplifying
n = -1

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