-6(3r-0.4)+0.6(6r+4)=-96

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Solution for -6(3r-0.4)+0.6(6r+4)=-96 equation: 


Simplifying
-6(3r + -0.4) + 0.6(6r + 4) = -96

Reorder the terms:
-6(-0.4 + 3r) + 0.6(6r + 4) = -96
(-0.4 * -6 + 3r * -6) + 0.6(6r + 4) = -96
(2.4 + -18r) + 0.6(6r + 4) = -96

Reorder the terms:
2.4 + -18r + 0.6(4 + 6r) = -96
2.4 + -18r + (4 * 0.6 + 6r * 0.6) = -96
2.4 + -18r + (2.4 + 3.6r) = -96

Reorder the terms:
2.4 + 2.4 + -18r + 3.6r = -96

Combine like terms: 2.4 + 2.4 = 4.8
4.8 + -18r + 3.6r = -96

Combine like terms: -18r + 3.6r = -14.4r
4.8 + -14.4r = -96

Solving
4.8 + -14.4r = -96

Solving for variable 'r'.

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

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -14.4r = -96 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -14.4r = -96 + -4.8
-14.4r = -96 + -4.8

Combine like terms: -96 + -4.8 = -100.8
-14.4r = -100.8

Divide each side by '-14.4'.
r = 7

Simplifying
r = 7

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