3r+9=8r-16

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Solution for 3r+9=8r-16 equation:


Simplifying
3r + 9 = 8r + -16

Reorder the terms:
9 + 3r = 8r + -16

Reorder the terms:
9 + 3r = -16 + 8r

Solving
9 + 3r = -16 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
9 + 3r + -8r = -16 + 8r + -8r

Combine like terms: 3r + -8r = -5r
9 + -5r = -16 + 8r + -8r

Combine like terms: 8r + -8r = 0
9 + -5r = -16 + 0
9 + -5r = -16

Add '-9' to each side of the equation.
9 + -9 + -5r = -16 + -9

Combine like terms: 9 + -9 = 0
0 + -5r = -16 + -9
-5r = -16 + -9

Combine like terms: -16 + -9 = -25
-5r = -25

Divide each side by '-5'.
r = 5

Simplifying
r = 5

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