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

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


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

Reorder the terms:
2(6 + r) = -2(r + -4)
(6 * 2 + r * 2) = -2(r + -4)
(12 + 2r) = -2(r + -4)

Reorder the terms:
12 + 2r = -2(-4 + r)
12 + 2r = (-4 * -2 + r * -2)
12 + 2r = (8 + -2r)

Solving
12 + 2r = 8 + -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 + 2r + 2r = 8 + -2r + 2r

Combine like terms: 2r + 2r = 4r
12 + 4r = 8 + -2r + 2r

Combine like terms: -2r + 2r = 0
12 + 4r = 8 + 0
12 + 4r = 8

Add '-12' to each side of the equation.
12 + -12 + 4r = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 4r = 8 + -12
4r = 8 + -12

Combine like terms: 8 + -12 = -4
4r = -4

Divide each side by '4'.
r = -1

Simplifying
r = -1

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