1-7(5n+8)=120

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Solution for 1-7(5n+8)=120 equation: 


Simplifying
1 + -7(5n + 8) = 120

Reorder the terms:
1 + -7(8 + 5n) = 120
1 + (8 * -7 + 5n * -7) = 120
1 + (-56 + -35n) = 120

Combine like terms: 1 + -56 = -55
-55 + -35n = 120

Solving
-55 + -35n = 120

Solving for variable 'n'.

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

Add '55' to each side of the equation.
-55 + 55 + -35n = 120 + 55

Combine like terms: -55 + 55 = 0
0 + -35n = 120 + 55
-35n = 120 + 55

Combine like terms: 120 + 55 = 175
-35n = 175

Divide each side by '-35'.
n = -5

Simplifying
n = -5

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