4(n+2)-(9n-4)=-6n

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Solution for 4(n+2)-(9n-4)=-6n equation:


Simplifying
4(n + 2) + -1(9n + -4) = -6n

Reorder the terms:
4(2 + n) + -1(9n + -4) = -6n
(2 * 4 + n * 4) + -1(9n + -4) = -6n
(8 + 4n) + -1(9n + -4) = -6n

Reorder the terms:
8 + 4n + -1(-4 + 9n) = -6n
8 + 4n + (-4 * -1 + 9n * -1) = -6n
8 + 4n + (4 + -9n) = -6n

Reorder the terms:
8 + 4 + 4n + -9n = -6n

Combine like terms: 8 + 4 = 12
12 + 4n + -9n = -6n

Combine like terms: 4n + -9n = -5n
12 + -5n = -6n

Solving
12 + -5n = -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
12 + -5n + 6n = -6n + 6n

Combine like terms: -5n + 6n = 1n
12 + 1n = -6n + 6n

Combine like terms: -6n + 6n = 0
12 + 1n = 0

Add '-12' to each side of the equation.
12 + -12 + 1n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = 0 + -12
1n = 0 + -12

Combine like terms: 0 + -12 = -12
1n = -12

Divide each side by '1'.
n = -12

Simplifying
n = -12

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