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Simplifying -29.5 = -7.5 + 5(r + -9.5) Reorder the terms: -29.5 = -7.5 + 5(-9.5 + r) -29.5 = -7.5 + (-9.5 * 5 + r * 5) -29.5 = -7.5 + (-47.5 + 5r) Combine like terms: -7.5 + -47.5 = -55 -29.5 = -55 + 5r Solving -29.5 = -55 + 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. -29.5 + -5r = -55 + 5r + -5r Combine like terms: 5r + -5r = 0 -29.5 + -5r = -55 + 0 -29.5 + -5r = -55 Add '29.5' to each side of the equation. -29.5 + 29.5 + -5r = -55 + 29.5 Combine like terms: -29.5 + 29.5 = 0.0 0.0 + -5r = -55 + 29.5 -5r = -55 + 29.5 Combine like terms: -55 + 29.5 = -25.5 -5r = -25.5 Divide each side by '-5'. r = 5.1 Simplifying r = 5.1
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