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Simplifying 4(r + 20) = 0.5(20r + 400) Reorder the terms: 4(20 + r) = 0.5(20r + 400) (20 * 4 + r * 4) = 0.5(20r + 400) (80 + 4r) = 0.5(20r + 400) Reorder the terms: 80 + 4r = 0.5(400 + 20r) 80 + 4r = (400 * 0.5 + 20r * 0.5) 80 + 4r = (200 + 10r) Solving 80 + 4r = 200 + 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. 80 + 4r + -10r = 200 + 10r + -10r Combine like terms: 4r + -10r = -6r 80 + -6r = 200 + 10r + -10r Combine like terms: 10r + -10r = 0 80 + -6r = 200 + 0 80 + -6r = 200 Add '-80' to each side of the equation. 80 + -80 + -6r = 200 + -80 Combine like terms: 80 + -80 = 0 0 + -6r = 200 + -80 -6r = 200 + -80 Combine like terms: 200 + -80 = 120 -6r = 120 Divide each side by '-6'. r = -20 Simplifying r = -20
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