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Simplifying 12 = -2(r + 6) + -2r Reorder the terms: 12 = -2(6 + r) + -2r 12 = (6 * -2 + r * -2) + -2r 12 = (-12 + -2r) + -2r Combine like terms: -2r + -2r = -4r 12 = -12 + -4r Solving 12 = -12 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 12 + 4r = -12 + -4r + 4r Combine like terms: -4r + 4r = 0 12 + 4r = -12 + 0 12 + 4r = -12 Add '-12' to each side of the equation. 12 + -12 + 4r = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 4r = -12 + -12 4r = -12 + -12 Combine like terms: -12 + -12 = -24 4r = -24 Divide each side by '4'. r = -6 Simplifying r = -6
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