3(2n-1)+7=5n+4-6n

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Solution for 3(2n-1)+7=5n+4-6n equation:


Simplifying
3(2n + -1) + 7 = 5n + 4 + -6n

Reorder the terms:
3(-1 + 2n) + 7 = 5n + 4 + -6n
(-1 * 3 + 2n * 3) + 7 = 5n + 4 + -6n
(-3 + 6n) + 7 = 5n + 4 + -6n

Reorder the terms:
-3 + 7 + 6n = 5n + 4 + -6n

Combine like terms: -3 + 7 = 4
4 + 6n = 5n + 4 + -6n

Reorder the terms:
4 + 6n = 4 + 5n + -6n

Combine like terms: 5n + -6n = -1n
4 + 6n = 4 + -1n

Add '-4' to each side of the equation.
4 + -4 + 6n = 4 + -4 + -1n

Combine like terms: 4 + -4 = 0
0 + 6n = 4 + -4 + -1n
6n = 4 + -4 + -1n

Combine like terms: 4 + -4 = 0
6n = 0 + -1n
6n = -1n

Solving
6n = -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6n + n = -1n + n

Combine like terms: 6n + n = 7n
7n = -1n + n

Combine like terms: -1n + n = 0
7n = 0

Divide each side by '7'.
n = 0

Simplifying
n = 0

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