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Simplifying -3(-8r + -3) = 2(r + 7) Reorder the terms: -3(-3 + -8r) = 2(r + 7) (-3 * -3 + -8r * -3) = 2(r + 7) (9 + 24r) = 2(r + 7) Reorder the terms: 9 + 24r = 2(7 + r) 9 + 24r = (7 * 2 + r * 2) 9 + 24r = (14 + 2r) Solving 9 + 24r = 14 + 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. 9 + 24r + -2r = 14 + 2r + -2r Combine like terms: 24r + -2r = 22r 9 + 22r = 14 + 2r + -2r Combine like terms: 2r + -2r = 0 9 + 22r = 14 + 0 9 + 22r = 14 Add '-9' to each side of the equation. 9 + -9 + 22r = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 22r = 14 + -9 22r = 14 + -9 Combine like terms: 14 + -9 = 5 22r = 5 Divide each side by '22'. r = 0.2272727273 Simplifying r = 0.2272727273
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