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

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


Simplifying
6(-3 + 3n) = -4(-5n + -1)
(-3 * 6 + 3n * 6) = -4(-5n + -1)
(-18 + 18n) = -4(-5n + -1)

Reorder the terms:
-18 + 18n = -4(-1 + -5n)
-18 + 18n = (-1 * -4 + -5n * -4)
-18 + 18n = (4 + 20n)

Solving
-18 + 18n = 4 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-18 + 18n + -20n = 4 + 20n + -20n

Combine like terms: 18n + -20n = -2n
-18 + -2n = 4 + 20n + -20n

Combine like terms: 20n + -20n = 0
-18 + -2n = 4 + 0
-18 + -2n = 4

Add '18' to each side of the equation.
-18 + 18 + -2n = 4 + 18

Combine like terms: -18 + 18 = 0
0 + -2n = 4 + 18
-2n = 4 + 18

Combine like terms: 4 + 18 = 22
-2n = 22

Divide each side by '-2'.
n = -11

Simplifying
n = -11

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