3(4-5r)=2r-4

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Solution for 3(4-5r)=2r-4 equation:


Simplifying
3(4 + -5r) = 2r + -4
(4 * 3 + -5r * 3) = 2r + -4
(12 + -15r) = 2r + -4

Reorder the terms:
12 + -15r = -4 + 2r

Solving
12 + -15r = -4 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
12 + -15r + -2r = -4 + 2r + -2r

Combine like terms: -15r + -2r = -17r
12 + -17r = -4 + 2r + -2r

Combine like terms: 2r + -2r = 0
12 + -17r = -4 + 0
12 + -17r = -4

Add '-12' to each side of the equation.
12 + -12 + -17r = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -17r = -4 + -12
-17r = -4 + -12

Combine like terms: -4 + -12 = -16
-17r = -16

Divide each side by '-17'.
r = 0.9411764706

Simplifying
r = 0.9411764706

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