3(-7n+3)-5=27+2n

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Solution for 3(-7n+3)-5=27+2n equation:


Simplifying
3(-7n + 3) + -5 = 27 + 2n

Reorder the terms:
3(3 + -7n) + -5 = 27 + 2n
(3 * 3 + -7n * 3) + -5 = 27 + 2n
(9 + -21n) + -5 = 27 + 2n

Reorder the terms:
9 + -5 + -21n = 27 + 2n

Combine like terms: 9 + -5 = 4
4 + -21n = 27 + 2n

Solving
4 + -21n = 27 + 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.
4 + -21n + -2n = 27 + 2n + -2n

Combine like terms: -21n + -2n = -23n
4 + -23n = 27 + 2n + -2n

Combine like terms: 2n + -2n = 0
4 + -23n = 27 + 0
4 + -23n = 27

Add '-4' to each side of the equation.
4 + -4 + -23n = 27 + -4

Combine like terms: 4 + -4 = 0
0 + -23n = 27 + -4
-23n = 27 + -4

Combine like terms: 27 + -4 = 23
-23n = 23

Divide each side by '-23'.
n = -1

Simplifying
n = -1

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