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Simplifying 12 = -3(2 + -2r) + -1(2r + 2) 12 = (2 * -3 + -2r * -3) + -1(2r + 2) 12 = (-6 + 6r) + -1(2r + 2) Reorder the terms: 12 = -6 + 6r + -1(2 + 2r) 12 = -6 + 6r + (2 * -1 + 2r * -1) 12 = -6 + 6r + (-2 + -2r) Reorder the terms: 12 = -6 + -2 + 6r + -2r Combine like terms: -6 + -2 = -8 12 = -8 + 6r + -2r Combine like terms: 6r + -2r = 4r 12 = -8 + 4r Solving 12 = -8 + 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 = -8 + 4r + -4r Combine like terms: 4r + -4r = 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 = -20 -4r = -20 Divide each side by '-4'. r = 5 Simplifying r = 5
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