2(11-2r)=-(6r-12)

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Solution for 2(11-2r)=-(6r-12) equation:


Simplifying
2(11 + -2r) = -1(6r + -12)
(11 * 2 + -2r * 2) = -1(6r + -12)
(22 + -4r) = -1(6r + -12)

Reorder the terms:
22 + -4r = -1(-12 + 6r)
22 + -4r = (-12 * -1 + 6r * -1)
22 + -4r = (12 + -6r)

Solving
22 + -4r = 12 + -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.
22 + -4r + 6r = 12 + -6r + 6r

Combine like terms: -4r + 6r = 2r
22 + 2r = 12 + -6r + 6r

Combine like terms: -6r + 6r = 0
22 + 2r = 12 + 0
22 + 2r = 12

Add '-22' to each side of the equation.
22 + -22 + 2r = 12 + -22

Combine like terms: 22 + -22 = 0
0 + 2r = 12 + -22
2r = 12 + -22

Combine like terms: 12 + -22 = -10
2r = -10

Divide each side by '2'.
r = -5

Simplifying
r = -5

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