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Simplifying -2(r + -2) = -3(1 + -1r) + 2r Reorder the terms: -2(-2 + r) = -3(1 + -1r) + 2r (-2 * -2 + r * -2) = -3(1 + -1r) + 2r (4 + -2r) = -3(1 + -1r) + 2r 4 + -2r = (1 * -3 + -1r * -3) + 2r 4 + -2r = (-3 + 3r) + 2r Combine like terms: 3r + 2r = 5r 4 + -2r = -3 + 5r Solving 4 + -2r = -3 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 4 + -2r + -5r = -3 + 5r + -5r Combine like terms: -2r + -5r = -7r 4 + -7r = -3 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + -7r = -3 + 0 4 + -7r = -3 Add '-4' to each side of the equation. 4 + -4 + -7r = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7r = -3 + -4 -7r = -3 + -4 Combine like terms: -3 + -4 = -7 -7r = -7 Divide each side by '-7'. r = 1 Simplifying r = 1
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