-6(2r+6)=36-3r

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Solution for -6(2r+6)=36-3r equation:


Simplifying
-6(2r + 6) = 36 + -3r

Reorder the terms:
-6(6 + 2r) = 36 + -3r
(6 * -6 + 2r * -6) = 36 + -3r
(-36 + -12r) = 36 + -3r

Solving
-36 + -12r = 36 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-36 + -12r + 3r = 36 + -3r + 3r

Combine like terms: -12r + 3r = -9r
-36 + -9r = 36 + -3r + 3r

Combine like terms: -3r + 3r = 0
-36 + -9r = 36 + 0
-36 + -9r = 36

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

Combine like terms: -36 + 36 = 0
0 + -9r = 36 + 36
-9r = 36 + 36

Combine like terms: 36 + 36 = 72
-9r = 72

Divide each side by '-9'.
r = -8

Simplifying
r = -8

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