5(n-6)=-(4-3n)

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Solution for 5(n-6)=-(4-3n) equation:


Simplifying
5(n + -6) = -1(4 + -3n)

Reorder the terms:
5(-6 + n) = -1(4 + -3n)
(-6 * 5 + n * 5) = -1(4 + -3n)
(-30 + 5n) = -1(4 + -3n)
-30 + 5n = (4 * -1 + -3n * -1)
-30 + 5n = (-4 + 3n)

Solving
-30 + 5n = -4 + 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 + 5n + -3n = -4 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-30 + 2n = -4 + 3n + -3n

Combine like terms: 3n + -3n = 0
-30 + 2n = -4 + 0
-30 + 2n = -4

Add '30' to each side of the equation.
-30 + 30 + 2n = -4 + 30

Combine like terms: -30 + 30 = 0
0 + 2n = -4 + 30
2n = -4 + 30

Combine like terms: -4 + 30 = 26
2n = 26

Divide each side by '2'.
n = 13

Simplifying
n = 13

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