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Simplifying -3(9r + 3) = -10 + 2(9 + -5r) Reorder the terms: -3(3 + 9r) = -10 + 2(9 + -5r) (3 * -3 + 9r * -3) = -10 + 2(9 + -5r) (-9 + -27r) = -10 + 2(9 + -5r) -9 + -27r = -10 + (9 * 2 + -5r * 2) -9 + -27r = -10 + (18 + -10r) Combine like terms: -10 + 18 = 8 -9 + -27r = 8 + -10r Solving -9 + -27r = 8 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -9 + -27r + 10r = 8 + -10r + 10r Combine like terms: -27r + 10r = -17r -9 + -17r = 8 + -10r + 10r Combine like terms: -10r + 10r = 0 -9 + -17r = 8 + 0 -9 + -17r = 8 Add '9' to each side of the equation. -9 + 9 + -17r = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -17r = 8 + 9 -17r = 8 + 9 Combine like terms: 8 + 9 = 17 -17r = 17 Divide each side by '-17'. r = -1 Simplifying r = -1
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