-6(n-5)+2n=-3(n-7)

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Solution for -6(n-5)+2n=-3(n-7) equation:


Simplifying
-6(n + -5) + 2n = -3(n + -7)

Reorder the terms:
-6(-5 + n) + 2n = -3(n + -7)
(-5 * -6 + n * -6) + 2n = -3(n + -7)
(30 + -6n) + 2n = -3(n + -7)

Combine like terms: -6n + 2n = -4n
30 + -4n = -3(n + -7)

Reorder the terms:
30 + -4n = -3(-7 + n)
30 + -4n = (-7 * -3 + n * -3)
30 + -4n = (21 + -3n)

Solving
30 + -4n = 21 + -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.
30 + -4n + 3n = 21 + -3n + 3n

Combine like terms: -4n + 3n = -1n
30 + -1n = 21 + -3n + 3n

Combine like terms: -3n + 3n = 0
30 + -1n = 21 + 0
30 + -1n = 21

Add '-30' to each side of the equation.
30 + -30 + -1n = 21 + -30

Combine like terms: 30 + -30 = 0
0 + -1n = 21 + -30
-1n = 21 + -30

Combine like terms: 21 + -30 = -9
-1n = -9

Divide each side by '-1'.
n = 9

Simplifying
n = 9

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