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Simplifying (5r + 20) * 5 = 10(5r + -5) Reorder the terms: (20 + 5r) * 5 = 10(5r + -5) Reorder the terms for easier multiplication: 5(20 + 5r) = 10(5r + -5) (20 * 5 + 5r * 5) = 10(5r + -5) (100 + 25r) = 10(5r + -5) Reorder the terms: 100 + 25r = 10(-5 + 5r) 100 + 25r = (-5 * 10 + 5r * 10) 100 + 25r = (-50 + 50r) Solving 100 + 25r = -50 + 50r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-50r' to each side of the equation. 100 + 25r + -50r = -50 + 50r + -50r Combine like terms: 25r + -50r = -25r 100 + -25r = -50 + 50r + -50r Combine like terms: 50r + -50r = 0 100 + -25r = -50 + 0 100 + -25r = -50 Add '-100' to each side of the equation. 100 + -100 + -25r = -50 + -100 Combine like terms: 100 + -100 = 0 0 + -25r = -50 + -100 -25r = -50 + -100 Combine like terms: -50 + -100 = -150 -25r = -150 Divide each side by '-25'. r = 6 Simplifying r = 6
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