2(-3n+5)=-4(n+4)

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Solution for 2(-3n+5)=-4(n+4) equation: 


Simplifying
2(-3n + 5) = -4(n + 4)

Reorder the terms:
2(5 + -3n) = -4(n + 4)
(5 * 2 + -3n * 2) = -4(n + 4)
(10 + -6n) = -4(n + 4)

Reorder the terms:
10 + -6n = -4(4 + n)
10 + -6n = (4 * -4 + n * -4)
10 + -6n = (-16 + -4n)

Solving
10 + -6n = -16 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
10 + -6n + 4n = -16 + -4n + 4n

Combine like terms: -6n + 4n = -2n
10 + -2n = -16 + -4n + 4n

Combine like terms: -4n + 4n = 0
10 + -2n = -16 + 0
10 + -2n = -16

Add '-10' to each side of the equation.
10 + -10 + -2n = -16 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = -16 + -10
-2n = -16 + -10

Combine like terms: -16 + -10 = -26
-2n = -26

Divide each side by '-2'.
n = 13

Simplifying
n = 13

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