-3(n-6)+1=7n-1

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Solution for -3(n-6)+1=7n-1 equation: 


Simplifying
-3(n + -6) + 1 = 7n + -1

Reorder the terms:
-3(-6 + n) + 1 = 7n + -1
(-6 * -3 + n * -3) + 1 = 7n + -1
(18 + -3n) + 1 = 7n + -1

Reorder the terms:
18 + 1 + -3n = 7n + -1

Combine like terms: 18 + 1 = 19
19 + -3n = 7n + -1

Reorder the terms:
19 + -3n = -1 + 7n

Solving
19 + -3n = -1 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
19 + -3n + -7n = -1 + 7n + -7n

Combine like terms: -3n + -7n = -10n
19 + -10n = -1 + 7n + -7n

Combine like terms: 7n + -7n = 0
19 + -10n = -1 + 0
19 + -10n = -1

Add '-19' to each side of the equation.
19 + -19 + -10n = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -10n = -1 + -19
-10n = -1 + -19

Combine like terms: -1 + -19 = -20
-10n = -20

Divide each side by '-10'.
n = 2

Simplifying
n = 2

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