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

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


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

Reorder the terms:
-5n + 3(-4 + 3n) = 3(n + -6)
-5n + (-4 * 3 + 3n * 3) = 3(n + -6)
-5n + (-12 + 9n) = 3(n + -6)

Reorder the terms:
-12 + -5n + 9n = 3(n + -6)

Combine like terms: -5n + 9n = 4n
-12 + 4n = 3(n + -6)

Reorder the terms:
-12 + 4n = 3(-6 + n)
-12 + 4n = (-6 * 3 + n * 3)
-12 + 4n = (-18 + 3n)

Solving
-12 + 4n = -18 + 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.
-12 + 4n + -3n = -18 + 3n + -3n

Combine like terms: 4n + -3n = 1n
-12 + 1n = -18 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 1n = -18 + 0
-12 + 1n = -18

Add '12' to each side of the equation.
-12 + 12 + 1n = -18 + 12

Combine like terms: -12 + 12 = 0
0 + 1n = -18 + 12
1n = -18 + 12

Combine like terms: -18 + 12 = -6
1n = -6

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

Simplifying
n = -6

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