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Simplifying 5(5 + r) = 5(2r + 7) (5 * 5 + r * 5) = 5(2r + 7) (25 + 5r) = 5(2r + 7) Reorder the terms: 25 + 5r = 5(7 + 2r) 25 + 5r = (7 * 5 + 2r * 5) 25 + 5r = (35 + 10r) Solving 25 + 5r = 35 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 25 + 5r + -10r = 35 + 10r + -10r Combine like terms: 5r + -10r = -5r 25 + -5r = 35 + 10r + -10r Combine like terms: 10r + -10r = 0 25 + -5r = 35 + 0 25 + -5r = 35 Add '-25' to each side of the equation. 25 + -25 + -5r = 35 + -25 Combine like terms: 25 + -25 = 0 0 + -5r = 35 + -25 -5r = 35 + -25 Combine like terms: 35 + -25 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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