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Simplifying 9(-5 + r) = -10 + -2r (-5 * 9 + r * 9) = -10 + -2r (-45 + 9r) = -10 + -2r Solving -45 + 9r = -10 + -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. -45 + 9r + 2r = -10 + -2r + 2r Combine like terms: 9r + 2r = 11r -45 + 11r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 -45 + 11r = -10 + 0 -45 + 11r = -10 Add '45' to each side of the equation. -45 + 45 + 11r = -10 + 45 Combine like terms: -45 + 45 = 0 0 + 11r = -10 + 45 11r = -10 + 45 Combine like terms: -10 + 45 = 35 11r = 35 Divide each side by '11'. r = 3.181818182 Simplifying r = 3.181818182
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