10-4n=-3(4n+2)

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Solution for 10-4n=-3(4n+2) equation: 


Simplifying
10 + -4n = -3(4n + 2)

Reorder the terms:
10 + -4n = -3(2 + 4n)
10 + -4n = (2 * -3 + 4n * -3)
10 + -4n = (-6 + -12n)

Solving
10 + -4n = -6 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
10 + -4n + 12n = -6 + -12n + 12n

Combine like terms: -4n + 12n = 8n
10 + 8n = -6 + -12n + 12n

Combine like terms: -12n + 12n = 0
10 + 8n = -6 + 0
10 + 8n = -6

Add '-10' to each side of the equation.
10 + -10 + 8n = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 8n = -6 + -10
8n = -6 + -10

Combine like terms: -6 + -10 = -16
8n = -16

Divide each side by '8'.
n = -2

Simplifying
n = -2

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