9(-2n+6)-(4-12n)=-10

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Solution for 9(-2n+6)-(4-12n)=-10 equation: 


Simplifying
9(-2n + 6) + -1(4 + -12n) = -10

Reorder the terms:
9(6 + -2n) + -1(4 + -12n) = -10
(6 * 9 + -2n * 9) + -1(4 + -12n) = -10
(54 + -18n) + -1(4 + -12n) = -10
54 + -18n + (4 * -1 + -12n * -1) = -10
54 + -18n + (-4 + 12n) = -10

Reorder the terms:
54 + -4 + -18n + 12n = -10

Combine like terms: 54 + -4 = 50
50 + -18n + 12n = -10

Combine like terms: -18n + 12n = -6n
50 + -6n = -10

Solving
50 + -6n = -10

Solving for variable 'n'.

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

Add '-50' to each side of the equation.
50 + -50 + -6n = -10 + -50

Combine like terms: 50 + -50 = 0
0 + -6n = -10 + -50
-6n = -10 + -50

Combine like terms: -10 + -50 = -60
-6n = -60

Divide each side by '-6'.
n = 10

Simplifying
n = 10

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