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Simplifying 5(r + -9) = -5(r + -9) Reorder the terms: 5(-9 + r) = -5(r + -9) (-9 * 5 + r * 5) = -5(r + -9) (-45 + 5r) = -5(r + -9) Reorder the terms: -45 + 5r = -5(-9 + r) -45 + 5r = (-9 * -5 + r * -5) -45 + 5r = (45 + -5r) Solving -45 + 5r = 45 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -45 + 5r + 5r = 45 + -5r + 5r Combine like terms: 5r + 5r = 10r -45 + 10r = 45 + -5r + 5r Combine like terms: -5r + 5r = 0 -45 + 10r = 45 + 0 -45 + 10r = 45 Add '45' to each side of the equation. -45 + 45 + 10r = 45 + 45 Combine like terms: -45 + 45 = 0 0 + 10r = 45 + 45 10r = 45 + 45 Combine like terms: 45 + 45 = 90 10r = 90 Divide each side by '10'. r = 9 Simplifying r = 9
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