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Simplifying 100 = 5(r + 15) Reorder the terms: 100 = 5(15 + r) 100 = (15 * 5 + r * 5) 100 = (75 + 5r) Solving 100 = 75 + 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. 100 + -5r = 75 + 5r + -5r Combine like terms: 5r + -5r = 0 100 + -5r = 75 + 0 100 + -5r = 75 Add '-100' to each side of the equation. 100 + -100 + -5r = 75 + -100 Combine like terms: 100 + -100 = 0 0 + -5r = 75 + -100 -5r = 75 + -100 Combine like terms: 75 + -100 = -25 -5r = -25 Divide each side by '-5'. r = 5 Simplifying r = 5
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