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Simplifying 5(5r + 5) = 10(5r + -20) Reorder the terms: 5(5 + 5r) = 10(5r + -20) (5 * 5 + 5r * 5) = 10(5r + -20) (25 + 25r) = 10(5r + -20) Reorder the terms: 25 + 25r = 10(-20 + 5r) 25 + 25r = (-20 * 10 + 5r * 10) 25 + 25r = (-200 + 50r) Solving 25 + 25r = -200 + 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. 25 + 25r + -50r = -200 + 50r + -50r Combine like terms: 25r + -50r = -25r 25 + -25r = -200 + 50r + -50r Combine like terms: 50r + -50r = 0 25 + -25r = -200 + 0 25 + -25r = -200 Add '-25' to each side of the equation. 25 + -25 + -25r = -200 + -25 Combine like terms: 25 + -25 = 0 0 + -25r = -200 + -25 -25r = -200 + -25 Combine like terms: -200 + -25 = -225 -25r = -225 Divide each side by '-25'. r = 9 Simplifying r = 9
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