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

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


Simplifying
3(4 + -2r) = -2(r + 5)
(4 * 3 + -2r * 3) = -2(r + 5)
(12 + -6r) = -2(r + 5)

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

Solving
12 + -6r = -10 + -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 + -6r + 2r = -10 + -2r + 2r

Combine like terms: -6r + 2r = -4r
12 + -4r = -10 + -2r + 2r

Combine like terms: -2r + 2r = 0
12 + -4r = -10 + 0
12 + -4r = -10

Add '-12' to each side of the equation.
12 + -12 + -4r = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -4r = -10 + -12
-4r = -10 + -12

Combine like terms: -10 + -12 = -22
-4r = -22

Divide each side by '-4'.
r = 5.5

Simplifying
r = 5.5

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