13.8=-9.4+3.7(2r+4)

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Solution for 13.8=-9.4+3.7(2r+4) equation: 


Simplifying
13.8 = -9.4 + 3.7(2r + 4)

Reorder the terms:
13.8 = -9.4 + 3.7(4 + 2r)
13.8 = -9.4 + (4 * 3.7 + 2r * 3.7)
13.8 = -9.4 + (14.8 + 7.4r)

Combine like terms: -9.4 + 14.8 = 5.4
13.8 = 5.4 + 7.4r

Solving
13.8 = 5.4 + 7.4r

Solving for variable 'r'.

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

Add '-7.4r' to each side of the equation.
13.8 + -7.4r = 5.4 + 7.4r + -7.4r

Combine like terms: 7.4r + -7.4r = 0.0
13.8 + -7.4r = 5.4 + 0.0
13.8 + -7.4r = 5.4

Add '-13.8' to each side of the equation.
13.8 + -13.8 + -7.4r = 5.4 + -13.8

Combine like terms: 13.8 + -13.8 = 0.0
0.0 + -7.4r = 5.4 + -13.8
-7.4r = 5.4 + -13.8

Combine like terms: 5.4 + -13.8 = -8.4
-7.4r = -8.4

Divide each side by '-7.4'.
r = 1.135135135

Simplifying
r = 1.135135135

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