-7(n+6)=-37-2n

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Solution for -7(n+6)=-37-2n equation:


Simplifying
-7(n + 6) = -37 + -2n

Reorder the terms:
-7(6 + n) = -37 + -2n
(6 * -7 + n * -7) = -37 + -2n
(-42 + -7n) = -37 + -2n

Solving
-42 + -7n = -37 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-42 + -7n + 2n = -37 + -2n + 2n

Combine like terms: -7n + 2n = -5n
-42 + -5n = -37 + -2n + 2n

Combine like terms: -2n + 2n = 0
-42 + -5n = -37 + 0
-42 + -5n = -37

Add '42' to each side of the equation.
-42 + 42 + -5n = -37 + 42

Combine like terms: -42 + 42 = 0
0 + -5n = -37 + 42
-5n = -37 + 42

Combine like terms: -37 + 42 = 5
-5n = 5

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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