-165=-5(7n-8)+5

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Solution for -165=-5(7n-8)+5 equation:


Simplifying
-165 = -5(7n + -8) + 5

Reorder the terms:
-165 = -5(-8 + 7n) + 5
-165 = (-8 * -5 + 7n * -5) + 5
-165 = (40 + -35n) + 5

Reorder the terms:
-165 = 40 + 5 + -35n

Combine like terms: 40 + 5 = 45
-165 = 45 + -35n

Solving
-165 = 45 + -35n

Solving for variable 'n'.

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

Add '35n' to each side of the equation.
-165 + 35n = 45 + -35n + 35n

Combine like terms: -35n + 35n = 0
-165 + 35n = 45 + 0
-165 + 35n = 45

Add '165' to each side of the equation.
-165 + 165 + 35n = 45 + 165

Combine like terms: -165 + 165 = 0
0 + 35n = 45 + 165
35n = 45 + 165

Combine like terms: 45 + 165 = 210
35n = 210

Divide each side by '35'.
n = 6

Simplifying
n = 6

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