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Simplifying 9 + -3r = -5(5r + 7) Reorder the terms: 9 + -3r = -5(7 + 5r) 9 + -3r = (7 * -5 + 5r * -5) 9 + -3r = (-35 + -25r) Solving 9 + -3r = -35 + -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. 9 + -3r + 25r = -35 + -25r + 25r Combine like terms: -3r + 25r = 22r 9 + 22r = -35 + -25r + 25r Combine like terms: -25r + 25r = 0 9 + 22r = -35 + 0 9 + 22r = -35 Add '-9' to each side of the equation. 9 + -9 + 22r = -35 + -9 Combine like terms: 9 + -9 = 0 0 + 22r = -35 + -9 22r = -35 + -9 Combine like terms: -35 + -9 = -44 22r = -44 Divide each side by '22'. r = -2 Simplifying r = -2
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