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Simplifying -12 + 4r = 2(r + -3) Reorder the terms: -12 + 4r = 2(-3 + r) -12 + 4r = (-3 * 2 + r * 2) -12 + 4r = (-6 + 2r) Solving -12 + 4r = -6 + 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 + 4r + -2r = -6 + 2r + -2r Combine like terms: 4r + -2r = 2r -12 + 2r = -6 + 2r + -2r Combine like terms: 2r + -2r = 0 -12 + 2r = -6 + 0 -12 + 2r = -6 Add '12' to each side of the equation. -12 + 12 + 2r = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2r = -6 + 12 2r = -6 + 12 Combine like terms: -6 + 12 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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