-3(6n+3)=36-3n

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Solution for -3(6n+3)=36-3n equation:


Simplifying
-3(6n + 3) = 36 + -3n

Reorder the terms:
-3(3 + 6n) = 36 + -3n
(3 * -3 + 6n * -3) = 36 + -3n
(-9 + -18n) = 36 + -3n

Solving
-9 + -18n = 36 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-9 + -18n + 3n = 36 + -3n + 3n

Combine like terms: -18n + 3n = -15n
-9 + -15n = 36 + -3n + 3n

Combine like terms: -3n + 3n = 0
-9 + -15n = 36 + 0
-9 + -15n = 36

Add '9' to each side of the equation.
-9 + 9 + -15n = 36 + 9

Combine like terms: -9 + 9 = 0
0 + -15n = 36 + 9
-15n = 36 + 9

Combine like terms: 36 + 9 = 45
-15n = 45

Divide each side by '-15'.
n = -3

Simplifying
n = -3

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