-5(2r-0.3)+0.4(4r+3)=-64

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Solution for -5(2r-0.3)+0.4(4r+3)=-64 equation: 


Simplifying
-5(2r + -0.3) + 0.4(4r + 3) = -64

Reorder the terms:
-5(-0.3 + 2r) + 0.4(4r + 3) = -64
(-0.3 * -5 + 2r * -5) + 0.4(4r + 3) = -64
(1.5 + -10r) + 0.4(4r + 3) = -64

Reorder the terms:
1.5 + -10r + 0.4(3 + 4r) = -64
1.5 + -10r + (3 * 0.4 + 4r * 0.4) = -64
1.5 + -10r + (1.2 + 1.6r) = -64

Reorder the terms:
1.5 + 1.2 + -10r + 1.6r = -64

Combine like terms: 1.5 + 1.2 = 2.7
2.7 + -10r + 1.6r = -64

Combine like terms: -10r + 1.6r = -8.4r
2.7 + -8.4r = -64

Solving
2.7 + -8.4r = -64

Solving for variable 'r'.

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

Add '-2.7' to each side of the equation.
2.7 + -2.7 + -8.4r = -64 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + -8.4r = -64 + -2.7
-8.4r = -64 + -2.7

Combine like terms: -64 + -2.7 = -66.7
-8.4r = -66.7

Divide each side by '-8.4'.
r = 7.94047619

Simplifying
r = 7.94047619

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