7r+8=31r+16

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Solution for 7r+8=31r+16 equation:


Simplifying
7r + 8 = 31r + 16

Reorder the terms:
8 + 7r = 31r + 16

Reorder the terms:
8 + 7r = 16 + 31r

Solving
8 + 7r = 16 + 31r

Solving for variable 'r'.

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

Add '-31r' to each side of the equation.
8 + 7r + -31r = 16 + 31r + -31r

Combine like terms: 7r + -31r = -24r
8 + -24r = 16 + 31r + -31r

Combine like terms: 31r + -31r = 0
8 + -24r = 16 + 0
8 + -24r = 16

Add '-8' to each side of the equation.
8 + -8 + -24r = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -24r = 16 + -8
-24r = 16 + -8

Combine like terms: 16 + -8 = 8
-24r = 8

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

Simplifying
r = -0.3333333333

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