-5(r-6)-8r=12-6(r-3)-7r

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Solution for -5(r-6)-8r=12-6(r-3)-7r equation: 


Simplifying
-5(r + -6) + -8r = 12 + -6(r + -3) + -7r

Reorder the terms:
-5(-6 + r) + -8r = 12 + -6(r + -3) + -7r
(-6 * -5 + r * -5) + -8r = 12 + -6(r + -3) + -7r
(30 + -5r) + -8r = 12 + -6(r + -3) + -7r

Combine like terms: -5r + -8r = -13r
30 + -13r = 12 + -6(r + -3) + -7r

Reorder the terms:
30 + -13r = 12 + -6(-3 + r) + -7r
30 + -13r = 12 + (-3 * -6 + r * -6) + -7r
30 + -13r = 12 + (18 + -6r) + -7r

Combine like terms: 12 + 18 = 30
30 + -13r = 30 + -6r + -7r

Combine like terms: -6r + -7r = -13r
30 + -13r = 30 + -13r

Add '-30' to each side of the equation.
30 + -30 + -13r = 30 + -30 + -13r

Combine like terms: 30 + -30 = 0
0 + -13r = 30 + -30 + -13r
-13r = 30 + -30 + -13r

Combine like terms: 30 + -30 = 0
-13r = 0 + -13r
-13r = -13r

Add '13r' to each side of the equation.
-13r + 13r = -13r + 13r

Combine like terms: -13r + 13r = 0
0 = -13r + 13r

Combine like terms: -13r + 13r = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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