10r-29=13r-86

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Solution for 10r-29=13r-86 equation:


Simplifying
10r + -29 = 13r + -86

Reorder the terms:
-29 + 10r = 13r + -86

Reorder the terms:
-29 + 10r = -86 + 13r

Solving
-29 + 10r = -86 + 13r

Solving for variable 'r'.

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

Add '-13r' to each side of the equation.
-29 + 10r + -13r = -86 + 13r + -13r

Combine like terms: 10r + -13r = -3r
-29 + -3r = -86 + 13r + -13r

Combine like terms: 13r + -13r = 0
-29 + -3r = -86 + 0
-29 + -3r = -86

Add '29' to each side of the equation.
-29 + 29 + -3r = -86 + 29

Combine like terms: -29 + 29 = 0
0 + -3r = -86 + 29
-3r = -86 + 29

Combine like terms: -86 + 29 = -57
-3r = -57

Divide each side by '-3'.
r = 19

Simplifying
r = 19

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