12+5(r-5)+3r=8r-13

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Solution for 12+5(r-5)+3r=8r-13 equation: 


Simplifying
12 + 5(r + -5) + 3r = 8r + -13

Reorder the terms:
12 + 5(-5 + r) + 3r = 8r + -13
12 + (-5 * 5 + r * 5) + 3r = 8r + -13
12 + (-25 + 5r) + 3r = 8r + -13

Combine like terms: 12 + -25 = -13
-13 + 5r + 3r = 8r + -13

Combine like terms: 5r + 3r = 8r
-13 + 8r = 8r + -13

Reorder the terms:
-13 + 8r = -13 + 8r

Add '13' to each side of the equation.
-13 + 13 + 8r = -13 + 13 + 8r

Combine like terms: -13 + 13 = 0
0 + 8r = -13 + 13 + 8r
8r = -13 + 13 + 8r

Combine like terms: -13 + 13 = 0
8r = 0 + 8r
8r = 8r

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

Combine like terms: 8r + -8r = 0
0 = 8r + -8r

Combine like terms: 8r + -8r = 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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