-4(5n+3)+2=18-6n

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Solution for -4(5n+3)+2=18-6n equation:


Simplifying
-4(5n + 3) + 2 = 18 + -6n

Reorder the terms:
-4(3 + 5n) + 2 = 18 + -6n
(3 * -4 + 5n * -4) + 2 = 18 + -6n
(-12 + -20n) + 2 = 18 + -6n

Reorder the terms:
-12 + 2 + -20n = 18 + -6n

Combine like terms: -12 + 2 = -10
-10 + -20n = 18 + -6n

Solving
-10 + -20n = 18 + -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.
-10 + -20n + 6n = 18 + -6n + 6n

Combine like terms: -20n + 6n = -14n
-10 + -14n = 18 + -6n + 6n

Combine like terms: -6n + 6n = 0
-10 + -14n = 18 + 0
-10 + -14n = 18

Add '10' to each side of the equation.
-10 + 10 + -14n = 18 + 10

Combine like terms: -10 + 10 = 0
0 + -14n = 18 + 10
-14n = 18 + 10

Combine like terms: 18 + 10 = 28
-14n = 28

Divide each side by '-14'.
n = -2

Simplifying
n = -2

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