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

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


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

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

Remove parenthesis around (-4 + 3n)
6 + -4 + 3n = -2(4n + -1) + -7

Combine like terms: 6 + -4 = 2
2 + 3n = -2(4n + -1) + -7

Reorder the terms:
2 + 3n = -2(-1 + 4n) + -7
2 + 3n = (-1 * -2 + 4n * -2) + -7
2 + 3n = (2 + -8n) + -7

Reorder the terms:
2 + 3n = 2 + -7 + -8n

Combine like terms: 2 + -7 = -5
2 + 3n = -5 + -8n

Solving
2 + 3n = -5 + -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 + 3n + 8n = -5 + -8n + 8n

Combine like terms: 3n + 8n = 11n
2 + 11n = -5 + -8n + 8n

Combine like terms: -8n + 8n = 0
2 + 11n = -5 + 0
2 + 11n = -5

Add '-2' to each side of the equation.
2 + -2 + 11n = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 11n = -5 + -2
11n = -5 + -2

Combine like terms: -5 + -2 = -7
11n = -7

Divide each side by '11'.
n = -0.6363636364

Simplifying
n = -0.6363636364

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