-3(n-5)=-2n+21

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Solution for -3(n-5)=-2n+21 equation: 


Simplifying
-3(n + -5) = -2n + 21

Reorder the terms:
-3(-5 + n) = -2n + 21
(-5 * -3 + n * -3) = -2n + 21
(15 + -3n) = -2n + 21

Reorder the terms:
15 + -3n = 21 + -2n

Solving
15 + -3n = 21 + -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.
15 + -3n + 2n = 21 + -2n + 2n

Combine like terms: -3n + 2n = -1n
15 + -1n = 21 + -2n + 2n

Combine like terms: -2n + 2n = 0
15 + -1n = 21 + 0
15 + -1n = 21

Add '-15' to each side of the equation.
15 + -15 + -1n = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = 21 + -15
-1n = 21 + -15

Combine like terms: 21 + -15 = 6
-1n = 6

Divide each side by '-1'.
n = -6

Simplifying
n = -6

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