13r+9=57-3r

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Solution for 13r+9=57-3r equation:


Simplifying
13r + 9 = 57 + -3r

Reorder the terms:
9 + 13r = 57 + -3r

Solving
9 + 13r = 57 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
9 + 13r + 3r = 57 + -3r + 3r

Combine like terms: 13r + 3r = 16r
9 + 16r = 57 + -3r + 3r

Combine like terms: -3r + 3r = 0
9 + 16r = 57 + 0
9 + 16r = 57

Add '-9' to each side of the equation.
9 + -9 + 16r = 57 + -9

Combine like terms: 9 + -9 = 0
0 + 16r = 57 + -9
16r = 57 + -9

Combine like terms: 57 + -9 = 48
16r = 48

Divide each side by '16'.
r = 3

Simplifying
r = 3

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