2(4r-6)=-33+5r

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Solution for 2(4r-6)=-33+5r equation:


Simplifying
2(4r + -6) = -33 + 5r

Reorder the terms:
2(-6 + 4r) = -33 + 5r
(-6 * 2 + 4r * 2) = -33 + 5r
(-12 + 8r) = -33 + 5r

Solving
-12 + 8r = -33 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-12 + 8r + -5r = -33 + 5r + -5r

Combine like terms: 8r + -5r = 3r
-12 + 3r = -33 + 5r + -5r

Combine like terms: 5r + -5r = 0
-12 + 3r = -33 + 0
-12 + 3r = -33

Add '12' to each side of the equation.
-12 + 12 + 3r = -33 + 12

Combine like terms: -12 + 12 = 0
0 + 3r = -33 + 12
3r = -33 + 12

Combine like terms: -33 + 12 = -21
3r = -21

Divide each side by '3'.
r = -7

Simplifying
r = -7

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