40+2r=30(2r+6)

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Solution for 40+2r=30(2r+6) equation: 


Simplifying
40 + 2r = 30(2r + 6)

Reorder the terms:
40 + 2r = 30(6 + 2r)
40 + 2r = (6 * 30 + 2r * 30)
40 + 2r = (180 + 60r)

Solving
40 + 2r = 180 + 60r

Solving for variable 'r'.

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

Add '-60r' to each side of the equation.
40 + 2r + -60r = 180 + 60r + -60r

Combine like terms: 2r + -60r = -58r
40 + -58r = 180 + 60r + -60r

Combine like terms: 60r + -60r = 0
40 + -58r = 180 + 0
40 + -58r = 180

Add '-40' to each side of the equation.
40 + -40 + -58r = 180 + -40

Combine like terms: 40 + -40 = 0
0 + -58r = 180 + -40
-58r = 180 + -40

Combine like terms: 180 + -40 = 140
-58r = 140

Divide each side by '-58'.
r = -2.413793103

Simplifying
r = -2.413793103

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