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

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


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

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

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

Reorder the terms:
2 + -6n = -2(-2 + 7n) + -3
2 + -6n = (-2 * -2 + 7n * -2) + -3
2 + -6n = (4 + -14n) + -3

Reorder the terms:
2 + -6n = 4 + -3 + -14n

Combine like terms: 4 + -3 = 1
2 + -6n = 1 + -14n

Solving
2 + -6n = 1 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
2 + -6n + 14n = 1 + -14n + 14n

Combine like terms: -6n + 14n = 8n
2 + 8n = 1 + -14n + 14n

Combine like terms: -14n + 14n = 0
2 + 8n = 1 + 0
2 + 8n = 1

Add '-2' to each side of the equation.
2 + -2 + 8n = 1 + -2

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

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

Divide each side by '8'.
n = -0.125

Simplifying
n = -0.125

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