38r+20=41.5r-15

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Solution for 38r+20=41.5r-15 equation: 


Simplifying
38r + 20 = 41.5r + -15

Reorder the terms:
20 + 38r = 41.5r + -15

Reorder the terms:
20 + 38r = -15 + 41.5r

Solving
20 + 38r = -15 + 41.5r

Solving for variable 'r'.

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

Add '-41.5r' to each side of the equation.
20 + 38r + -41.5r = -15 + 41.5r + -41.5r

Combine like terms: 38r + -41.5r = -3.5r
20 + -3.5r = -15 + 41.5r + -41.5r

Combine like terms: 41.5r + -41.5r = 0.0
20 + -3.5r = -15 + 0.0
20 + -3.5r = -15

Add '-20' to each side of the equation.
20 + -20 + -3.5r = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -3.5r = -15 + -20
-3.5r = -15 + -20

Combine like terms: -15 + -20 = -35
-3.5r = -35

Divide each side by '-3.5'.
r = 10

Simplifying
r = 10

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