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Simplifying 0.04(2r + 1) + -0.03(2r + -5) = 29 Reorder the terms: 0.04(1 + 2r) + -0.03(2r + -5) = 29 (1 * 0.04 + 2r * 0.04) + -0.03(2r + -5) = 29 (0.04 + 0.08r) + -0.03(2r + -5) = 29 Reorder the terms: 0.04 + 0.08r + -0.03(-5 + 2r) = 29 0.04 + 0.08r + (-5 * -0.03 + 2r * -0.03) = 29 0.04 + 0.08r + (0.15 + -0.06r) = 29 Reorder the terms: 0.04 + 0.15 + 0.08r + -0.06r = 29 Combine like terms: 0.04 + 0.15 = 0.19 0.19 + 0.08r + -0.06r = 29 Combine like terms: 0.08r + -0.06r = 0.02r 0.19 + 0.02r = 29 Solving 0.19 + 0.02r = 29 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.19' to each side of the equation. 0.19 + -0.19 + 0.02r = 29 + -0.19 Combine like terms: 0.19 + -0.19 = 0.00 0.00 + 0.02r = 29 + -0.19 0.02r = 29 + -0.19 Combine like terms: 29 + -0.19 = 28.81 0.02r = 28.81 Divide each side by '0.02'. r = 1440.5 Simplifying r = 1440.5
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