3r+7=15r+10

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Solution for 3r+7=15r+10 equation:


Simplifying
3r + 7 = 15r + 10

Reorder the terms:
7 + 3r = 15r + 10

Reorder the terms:
7 + 3r = 10 + 15r

Solving
7 + 3r = 10 + 15r

Solving for variable 'r'.

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

Add '-15r' to each side of the equation.
7 + 3r + -15r = 10 + 15r + -15r

Combine like terms: 3r + -15r = -12r
7 + -12r = 10 + 15r + -15r

Combine like terms: 15r + -15r = 0
7 + -12r = 10 + 0
7 + -12r = 10

Add '-7' to each side of the equation.
7 + -7 + -12r = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -12r = 10 + -7
-12r = 10 + -7

Combine like terms: 10 + -7 = 3
-12r = 3

Divide each side by '-12'.
r = -0.25

Simplifying
r = -0.25

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