-7(-n+6)=-3n-2

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Solution for -7(-n+6)=-3n-2 equation:


Simplifying
-7(-1n + 6) = -3n + -2

Reorder the terms:
-7(6 + -1n) = -3n + -2
(6 * -7 + -1n * -7) = -3n + -2
(-42 + 7n) = -3n + -2

Reorder the terms:
-42 + 7n = -2 + -3n

Solving
-42 + 7n = -2 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-42 + 7n + 3n = -2 + -3n + 3n

Combine like terms: 7n + 3n = 10n
-42 + 10n = -2 + -3n + 3n

Combine like terms: -3n + 3n = 0
-42 + 10n = -2 + 0
-42 + 10n = -2

Add '42' to each side of the equation.
-42 + 42 + 10n = -2 + 42

Combine like terms: -42 + 42 = 0
0 + 10n = -2 + 42
10n = -2 + 42

Combine like terms: -2 + 42 = 40
10n = 40

Divide each side by '10'.
n = 4

Simplifying
n = 4

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