6r-8=15r+16

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Solution for 6r-8=15r+16 equation:


Simplifying
6r + -8 = 15r + 16

Reorder the terms:
-8 + 6r = 15r + 16

Reorder the terms:
-8 + 6r = 16 + 15r

Solving
-8 + 6r = 16 + 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.
-8 + 6r + -15r = 16 + 15r + -15r

Combine like terms: 6r + -15r = -9r
-8 + -9r = 16 + 15r + -15r

Combine like terms: 15r + -15r = 0
-8 + -9r = 16 + 0
-8 + -9r = 16

Add '8' to each side of the equation.
-8 + 8 + -9r = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -9r = 16 + 8
-9r = 16 + 8

Combine like terms: 16 + 8 = 24
-9r = 24

Divide each side by '-9'.
r = -2.666666667

Simplifying
r = -2.666666667

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