-4(n-6)+6n=10+3n

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Solution for -4(n-6)+6n=10+3n equation:


Simplifying
-4(n + -6) + 6n = 10 + 3n

Reorder the terms:
-4(-6 + n) + 6n = 10 + 3n
(-6 * -4 + n * -4) + 6n = 10 + 3n
(24 + -4n) + 6n = 10 + 3n

Combine like terms: -4n + 6n = 2n
24 + 2n = 10 + 3n

Solving
24 + 2n = 10 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
24 + 2n + -3n = 10 + 3n + -3n

Combine like terms: 2n + -3n = -1n
24 + -1n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
24 + -1n = 10 + 0
24 + -1n = 10

Add '-24' to each side of the equation.
24 + -24 + -1n = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -1n = 10 + -24
-1n = 10 + -24

Combine like terms: 10 + -24 = -14
-1n = -14

Divide each side by '-1'.
n = 14

Simplifying
n = 14

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