-5.4(-1.4-6.7r)+3.09r=39.136-0.2r

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Solution for -5.4(-1.4-6.7r)+3.09r=39.136-0.2r equation:


Simplifying
-5.4(-1.4 + -6.7r) + 3.09r = 39.136 + -0.2r
(-1.4 * -5.4 + -6.7r * -5.4) + 3.09r = 39.136 + -0.2r
(7.56 + 36.18r) + 3.09r = 39.136 + -0.2r

Combine like terms: 36.18r + 3.09r = 39.27r
7.56 + 39.27r = 39.136 + -0.2r

Solving
7.56 + 39.27r = 39.136 + -0.2r

Solving for variable 'r'.

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

Add '0.2r' to each side of the equation.
7.56 + 39.27r + 0.2r = 39.136 + -0.2r + 0.2r

Combine like terms: 39.27r + 0.2r = 39.47r
7.56 + 39.47r = 39.136 + -0.2r + 0.2r

Combine like terms: -0.2r + 0.2r = 0.0
7.56 + 39.47r = 39.136 + 0.0
7.56 + 39.47r = 39.136

Add '-7.56' to each side of the equation.
7.56 + -7.56 + 39.47r = 39.136 + -7.56

Combine like terms: 7.56 + -7.56 = 0.00
0.00 + 39.47r = 39.136 + -7.56
39.47r = 39.136 + -7.56

Combine like terms: 39.136 + -7.56 = 31.576
39.47r = 31.576

Divide each side by '39.47'.
r = 0.8

Simplifying
r = 0.8

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