0=2(3n-6)-3(4n+-80)

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Solution for 0=2(3n-6)-3(4n+-80) equation:


Simplifying
0 = 2(3n + -6) + -3(4n + -80)

Reorder the terms:
0 = 2(-6 + 3n) + -3(4n + -80)
0 = (-6 * 2 + 3n * 2) + -3(4n + -80)
0 = (-12 + 6n) + -3(4n + -80)

Reorder the terms:
0 = -12 + 6n + -3(-80 + 4n)
0 = -12 + 6n + (-80 * -3 + 4n * -3)
0 = -12 + 6n + (240 + -12n)

Reorder the terms:
0 = -12 + 240 + 6n + -12n

Combine like terms: -12 + 240 = 228
0 = 228 + 6n + -12n

Combine like terms: 6n + -12n = -6n
0 = 228 + -6n

Solving
0 = 228 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
0 + 6n = 228 + -6n + 6n
Remove the zero:
6n = 228 + -6n + 6n

Combine like terms: -6n + 6n = 0
6n = 228 + 0
6n = 228

Divide each side by '6'.
n = 38

Simplifying
n = 38

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