2r+24=5r-15

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Solution for 2r+24=5r-15 equation:


Simplifying
2r + 24 = 5r + -15

Reorder the terms:
24 + 2r = 5r + -15

Reorder the terms:
24 + 2r = -15 + 5r

Solving
24 + 2r = -15 + 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.
24 + 2r + -5r = -15 + 5r + -5r

Combine like terms: 2r + -5r = -3r
24 + -3r = -15 + 5r + -5r

Combine like terms: 5r + -5r = 0
24 + -3r = -15 + 0
24 + -3r = -15

Add '-24' to each side of the equation.
24 + -24 + -3r = -15 + -24

Combine like terms: 24 + -24 = 0
0 + -3r = -15 + -24
-3r = -15 + -24

Combine like terms: -15 + -24 = -39
-3r = -39

Divide each side by '-3'.
r = 13

Simplifying
r = 13

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