12.8+7.8r=-3.6r+3.7(2r+4)

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Solution for 12.8+7.8r=-3.6r+3.7(2r+4) equation: 


Simplifying
12.8 + 7.8r = -3.6r + 3.7(2r + 4)

Reorder the terms:
12.8 + 7.8r = -3.6r + 3.7(4 + 2r)
12.8 + 7.8r = -3.6r + (4 * 3.7 + 2r * 3.7)
12.8 + 7.8r = -3.6r + (14.8 + 7.4r)

Reorder the terms:
12.8 + 7.8r = 14.8 + -3.6r + 7.4r

Combine like terms: -3.6r + 7.4r = 3.8r
12.8 + 7.8r = 14.8 + 3.8r

Solving
12.8 + 7.8r = 14.8 + 3.8r

Solving for variable 'r'.

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

Add '-3.8r' to each side of the equation.
12.8 + 7.8r + -3.8r = 14.8 + 3.8r + -3.8r

Combine like terms: 7.8r + -3.8r = 4r
12.8 + 4r = 14.8 + 3.8r + -3.8r

Combine like terms: 3.8r + -3.8r = 0.0
12.8 + 4r = 14.8 + 0.0
12.8 + 4r = 14.8

Add '-12.8' to each side of the equation.
12.8 + -12.8 + 4r = 14.8 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + 4r = 14.8 + -12.8
4r = 14.8 + -12.8

Combine like terms: 14.8 + -12.8 = 2
4r = 2

Divide each side by '4'.
r = 0.5

Simplifying
r = 0.5

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