-5(4r-2)=-2(3+6r)

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Solution for -5(4r-2)=-2(3+6r) equation:


Simplifying
-5(4r + -2) = -2(3 + 6r)

Reorder the terms:
-5(-2 + 4r) = -2(3 + 6r)
(-2 * -5 + 4r * -5) = -2(3 + 6r)
(10 + -20r) = -2(3 + 6r)
10 + -20r = (3 * -2 + 6r * -2)
10 + -20r = (-6 + -12r)

Solving
10 + -20r = -6 + -12r

Solving for variable 'r'.

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

Add '12r' to each side of the equation.
10 + -20r + 12r = -6 + -12r + 12r

Combine like terms: -20r + 12r = -8r
10 + -8r = -6 + -12r + 12r

Combine like terms: -12r + 12r = 0
10 + -8r = -6 + 0
10 + -8r = -6

Add '-10' to each side of the equation.
10 + -10 + -8r = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -8r = -6 + -10
-8r = -6 + -10

Combine like terms: -6 + -10 = -16
-8r = -16

Divide each side by '-8'.
r = 2

Simplifying
r = 2

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