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Simplifying 5(4 + r) = 2(40 + 10r) (4 * 5 + r * 5) = 2(40 + 10r) (20 + 5r) = 2(40 + 10r) 20 + 5r = (40 * 2 + 10r * 2) 20 + 5r = (80 + 20r) Solving 20 + 5r = 80 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. 20 + 5r + -20r = 80 + 20r + -20r Combine like terms: 5r + -20r = -15r 20 + -15r = 80 + 20r + -20r Combine like terms: 20r + -20r = 0 20 + -15r = 80 + 0 20 + -15r = 80 Add '-20' to each side of the equation. 20 + -20 + -15r = 80 + -20 Combine like terms: 20 + -20 = 0 0 + -15r = 80 + -20 -15r = 80 + -20 Combine like terms: 80 + -20 = 60 -15r = 60 Divide each side by '-15'. r = -4 Simplifying r = -4
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