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

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


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

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

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

Reorder the terms:
2 + 9n = 4(-1 + n) + 4n
2 + 9n = (-1 * 4 + n * 4) + 4n
2 + 9n = (-4 + 4n) + 4n

Combine like terms: 4n + 4n = 8n
2 + 9n = -4 + 8n

Solving
2 + 9n = -4 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
2 + 9n + -8n = -4 + 8n + -8n

Combine like terms: 9n + -8n = 1n
2 + 1n = -4 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + 1n = -4 + 0
2 + 1n = -4

Add '-2' to each side of the equation.
2 + -2 + 1n = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = -4 + -2
1n = -4 + -2

Combine like terms: -4 + -2 = -6
1n = -6

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

Simplifying
n = -6

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