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Simplifying 5(4 + r) = (40 + 10r) (4 * 5 + r * 5) = (40 + 10r) (20 + 5r) = (40 + 10r) Remove parenthesis around (40 + 10r) 20 + 5r = 40 + 10r Solving 20 + 5r = 40 + 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. 20 + 5r + -10r = 40 + 10r + -10r Combine like terms: 5r + -10r = -5r 20 + -5r = 40 + 10r + -10r Combine like terms: 10r + -10r = 0 20 + -5r = 40 + 0 20 + -5r = 40 Add '-20' to each side of the equation. 20 + -20 + -5r = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -5r = 40 + -20 -5r = 40 + -20 Combine like terms: 40 + -20 = 20 -5r = 20 Divide each side by '-5'. r = -4 Simplifying r = -4
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