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Simplifying 120 = r + (20 + r) + (20 + r) Remove parenthesis around (20 + r) 120 = r + 20 + r + (20 + r) Remove parenthesis around (20 + r) 120 = r + 20 + r + 20 + r Reorder the terms: 120 = 20 + 20 + r + r + r Combine like terms: 20 + 20 = 40 120 = 40 + r + r + r Combine like terms: r + r = 2r 120 = 40 + 2r + r Combine like terms: 2r + r = 3r 120 = 40 + 3r Solving 120 = 40 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 120 + -3r = 40 + 3r + -3r Combine like terms: 3r + -3r = 0 120 + -3r = 40 + 0 120 + -3r = 40 Add '-120' to each side of the equation. 120 + -120 + -3r = 40 + -120 Combine like terms: 120 + -120 = 0 0 + -3r = 40 + -120 -3r = 40 + -120 Combine like terms: 40 + -120 = -80 -3r = -80 Divide each side by '-3'. r = 26.66666667 Simplifying r = 26.66666667
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