4(12n-6)=6(-4+5n)+18

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Solution for 4(12n-6)=6(-4+5n)+18 equation:


Simplifying
4(12n + -6) = 6(-4 + 5n) + 18

Reorder the terms:
4(-6 + 12n) = 6(-4 + 5n) + 18
(-6 * 4 + 12n * 4) = 6(-4 + 5n) + 18
(-24 + 48n) = 6(-4 + 5n) + 18
-24 + 48n = (-4 * 6 + 5n * 6) + 18
-24 + 48n = (-24 + 30n) + 18

Reorder the terms:
-24 + 48n = -24 + 18 + 30n

Combine like terms: -24 + 18 = -6
-24 + 48n = -6 + 30n

Solving
-24 + 48n = -6 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
-24 + 48n + -30n = -6 + 30n + -30n

Combine like terms: 48n + -30n = 18n
-24 + 18n = -6 + 30n + -30n

Combine like terms: 30n + -30n = 0
-24 + 18n = -6 + 0
-24 + 18n = -6

Add '24' to each side of the equation.
-24 + 24 + 18n = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 18n = -6 + 24
18n = -6 + 24

Combine like terms: -6 + 24 = 18
18n = 18

Divide each side by '18'.
n = 1

Simplifying
n = 1

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