9r+7=33r+15

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Solution for 9r+7=33r+15 equation:


Simplifying
9r + 7 = 33r + 15

Reorder the terms:
7 + 9r = 33r + 15

Reorder the terms:
7 + 9r = 15 + 33r

Solving
7 + 9r = 15 + 33r

Solving for variable 'r'.

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

Add '-33r' to each side of the equation.
7 + 9r + -33r = 15 + 33r + -33r

Combine like terms: 9r + -33r = -24r
7 + -24r = 15 + 33r + -33r

Combine like terms: 33r + -33r = 0
7 + -24r = 15 + 0
7 + -24r = 15

Add '-7' to each side of the equation.
7 + -7 + -24r = 15 + -7

Combine like terms: 7 + -7 = 0
0 + -24r = 15 + -7
-24r = 15 + -7

Combine like terms: 15 + -7 = 8
-24r = 8

Divide each side by '-24'.
r = -0.3333333333

Simplifying
r = -0.3333333333

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