3(n-3)-6n=-2(1-2n)

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Solution for 3(n-3)-6n=-2(1-2n) equation:


Simplifying
3(n + -3) + -6n = -2(1 + -2n)

Reorder the terms:
3(-3 + n) + -6n = -2(1 + -2n)
(-3 * 3 + n * 3) + -6n = -2(1 + -2n)
(-9 + 3n) + -6n = -2(1 + -2n)

Combine like terms: 3n + -6n = -3n
-9 + -3n = -2(1 + -2n)
-9 + -3n = (1 * -2 + -2n * -2)
-9 + -3n = (-2 + 4n)

Solving
-9 + -3n = -2 + 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.
-9 + -3n + -4n = -2 + 4n + -4n

Combine like terms: -3n + -4n = -7n
-9 + -7n = -2 + 4n + -4n

Combine like terms: 4n + -4n = 0
-9 + -7n = -2 + 0
-9 + -7n = -2

Add '9' to each side of the equation.
-9 + 9 + -7n = -2 + 9

Combine like terms: -9 + 9 = 0
0 + -7n = -2 + 9
-7n = -2 + 9

Combine like terms: -2 + 9 = 7
-7n = 7

Divide each side by '-7'.
n = -1

Simplifying
n = -1

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