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Simplifying 4(r + 20) = 5(r + -20) Reorder the terms: 4(20 + r) = 5(r + -20) (20 * 4 + r * 4) = 5(r + -20) (80 + 4r) = 5(r + -20) Reorder the terms: 80 + 4r = 5(-20 + r) 80 + 4r = (-20 * 5 + r * 5) 80 + 4r = (-100 + 5r) Solving 80 + 4r = -100 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 80 + 4r + -5r = -100 + 5r + -5r Combine like terms: 4r + -5r = -1r 80 + -1r = -100 + 5r + -5r Combine like terms: 5r + -5r = 0 80 + -1r = -100 + 0 80 + -1r = -100 Add '-80' to each side of the equation. 80 + -80 + -1r = -100 + -80 Combine like terms: 80 + -80 = 0 0 + -1r = -100 + -80 -1r = -100 + -80 Combine like terms: -100 + -80 = -180 -1r = -180 Divide each side by '-1'. r = 180 Simplifying r = 180
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