12r-57=3r+6

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Solution for 12r-57=3r+6 equation:


Simplifying
12r + -57 = 3r + 6

Reorder the terms:
-57 + 12r = 3r + 6

Reorder the terms:
-57 + 12r = 6 + 3r

Solving
-57 + 12r = 6 + 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.
-57 + 12r + -3r = 6 + 3r + -3r

Combine like terms: 12r + -3r = 9r
-57 + 9r = 6 + 3r + -3r

Combine like terms: 3r + -3r = 0
-57 + 9r = 6 + 0
-57 + 9r = 6

Add '57' to each side of the equation.
-57 + 57 + 9r = 6 + 57

Combine like terms: -57 + 57 = 0
0 + 9r = 6 + 57
9r = 6 + 57

Combine like terms: 6 + 57 = 63
9r = 63

Divide each side by '9'.
r = 7

Simplifying
r = 7

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