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Simplifying 4(r + 20) = 0.10(20r + 400) Reorder the terms: 4(20 + r) = 0.10(20r + 400) (20 * 4 + r * 4) = 0.10(20r + 400) (80 + 4r) = 0.10(20r + 400) Reorder the terms: 80 + 4r = 0.10(400 + 20r) 80 + 4r = (400 * 0.10 + 20r * 0.10) 80 + 4r = (40 + 2r) Solving 80 + 4r = 40 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 80 + 4r + -2r = 40 + 2r + -2r Combine like terms: 4r + -2r = 2r 80 + 2r = 40 + 2r + -2r Combine like terms: 2r + -2r = 0 80 + 2r = 40 + 0 80 + 2r = 40 Add '-80' to each side of the equation. 80 + -80 + 2r = 40 + -80 Combine like terms: 80 + -80 = 0 0 + 2r = 40 + -80 2r = 40 + -80 Combine like terms: 40 + -80 = -40 2r = -40 Divide each side by '2'. r = -20 Simplifying r = -20
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