-6(1+5n)=4n+6(-6n-3)

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Solution for -6(1+5n)=4n+6(-6n-3) equation:


Simplifying
-6(1 + 5n) = 4n + 6(-6n + -3)
(1 * -6 + 5n * -6) = 4n + 6(-6n + -3)
(-6 + -30n) = 4n + 6(-6n + -3)

Reorder the terms:
-6 + -30n = 4n + 6(-3 + -6n)
-6 + -30n = 4n + (-3 * 6 + -6n * 6)
-6 + -30n = 4n + (-18 + -36n)

Reorder the terms:
-6 + -30n = -18 + 4n + -36n

Combine like terms: 4n + -36n = -32n
-6 + -30n = -18 + -32n

Solving
-6 + -30n = -18 + -32n

Solving for variable 'n'.

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

Add '32n' to each side of the equation.
-6 + -30n + 32n = -18 + -32n + 32n

Combine like terms: -30n + 32n = 2n
-6 + 2n = -18 + -32n + 32n

Combine like terms: -32n + 32n = 0
-6 + 2n = -18 + 0
-6 + 2n = -18

Add '6' to each side of the equation.
-6 + 6 + 2n = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = -18 + 6
2n = -18 + 6

Combine like terms: -18 + 6 = -12
2n = -12

Divide each side by '2'.
n = -6

Simplifying
n = -6

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