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Simplifying -3(r + -2) = 9(r + -1) Reorder the terms: -3(-2 + r) = 9(r + -1) (-2 * -3 + r * -3) = 9(r + -1) (6 + -3r) = 9(r + -1) Reorder the terms: 6 + -3r = 9(-1 + r) 6 + -3r = (-1 * 9 + r * 9) 6 + -3r = (-9 + 9r) Solving 6 + -3r = -9 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 6 + -3r + -9r = -9 + 9r + -9r Combine like terms: -3r + -9r = -12r 6 + -12r = -9 + 9r + -9r Combine like terms: 9r + -9r = 0 6 + -12r = -9 + 0 6 + -12r = -9 Add '-6' to each side of the equation. 6 + -6 + -12r = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -12r = -9 + -6 -12r = -9 + -6 Combine like terms: -9 + -6 = -15 -12r = -15 Divide each side by '-12'. r = 1.25 Simplifying r = 1.25
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