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Simplifying 9(-5 + -1r) = -10 + -2r (-5 * 9 + -1r * 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 = -7r -45 + -7r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 -45 + -7r = -10 + 0 -45 + -7r = -10 Add '45' to each side of the equation. -45 + 45 + -7r = -10 + 45 Combine like terms: -45 + 45 = 0 0 + -7r = -10 + 45 -7r = -10 + 45 Combine like terms: -10 + 45 = 35 -7r = 35 Divide each side by '-7'. r = -5 Simplifying r = -5
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