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Simplifying -28.5 = 8 + 7(r + 7.5) Reorder the terms: -28.5 = 8 + 7(7.5 + r) -28.5 = 8 + (7.5 * 7 + r * 7) -28.5 = 8 + (52.5 + 7r) Combine like terms: 8 + 52.5 = 60.5 -28.5 = 60.5 + 7r Solving -28.5 = 60.5 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -28.5 + -7r = 60.5 + 7r + -7r Combine like terms: 7r + -7r = 0 -28.5 + -7r = 60.5 + 0 -28.5 + -7r = 60.5 Add '28.5' to each side of the equation. -28.5 + 28.5 + -7r = 60.5 + 28.5 Combine like terms: -28.5 + 28.5 = 0.0 0.0 + -7r = 60.5 + 28.5 -7r = 60.5 + 28.5 Combine like terms: 60.5 + 28.5 = 89 -7r = 89 Divide each side by '-7'. r = -12.71428571 Simplifying r = -12.71428571
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