1.5(1-2.8r)=-29.7+7.8r

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Solution for 1.5(1-2.8r)=-29.7+7.8r equation: 


Simplifying
1.5(1 + -2.8r) = -29.7 + 7.8r
(1 * 1.5 + -2.8r * 1.5) = -29.7 + 7.8r
(1.5 + -4.2r) = -29.7 + 7.8r

Solving
1.5 + -4.2r = -29.7 + 7.8r

Solving for variable 'r'.

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

Add '-7.8r' to each side of the equation.
1.5 + -4.2r + -7.8r = -29.7 + 7.8r + -7.8r

Combine like terms: -4.2r + -7.8r = -12r
1.5 + -12r = -29.7 + 7.8r + -7.8r

Combine like terms: 7.8r + -7.8r = 0.0
1.5 + -12r = -29.7 + 0.0
1.5 + -12r = -29.7

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -12r = -29.7 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -12r = -29.7 + -1.5
-12r = -29.7 + -1.5

Combine like terms: -29.7 + -1.5 = -31.2
-12r = -31.2

Divide each side by '-12'.
r = 2.6

Simplifying
r = 2.6

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