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

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


Simplifying
4(2 + -3r) = 2(3r + -3)
(2 * 4 + -3r * 4) = 2(3r + -3)
(8 + -12r) = 2(3r + -3)

Reorder the terms:
8 + -12r = 2(-3 + 3r)
8 + -12r = (-3 * 2 + 3r * 2)
8 + -12r = (-6 + 6r)

Solving
8 + -12r = -6 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
8 + -12r + -6r = -6 + 6r + -6r

Combine like terms: -12r + -6r = -18r
8 + -18r = -6 + 6r + -6r

Combine like terms: 6r + -6r = 0
8 + -18r = -6 + 0
8 + -18r = -6

Add '-8' to each side of the equation.
8 + -8 + -18r = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -18r = -6 + -8
-18r = -6 + -8

Combine like terms: -6 + -8 = -14
-18r = -14

Divide each side by '-18'.
r = 0.7777777778

Simplifying
r = 0.7777777778

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