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Simplifying 4(2r + 1) + -0.03(2r + -5) = 0.29 Reorder the terms: 4(1 + 2r) + -0.03(2r + -5) = 0.29 (1 * 4 + 2r * 4) + -0.03(2r + -5) = 0.29 (4 + 8r) + -0.03(2r + -5) = 0.29 Reorder the terms: 4 + 8r + -0.03(-5 + 2r) = 0.29 4 + 8r + (-5 * -0.03 + 2r * -0.03) = 0.29 4 + 8r + (0.15 + -0.06r) = 0.29 Reorder the terms: 4 + 0.15 + 8r + -0.06r = 0.29 Combine like terms: 4 + 0.15 = 4.15 4.15 + 8r + -0.06r = 0.29 Combine like terms: 8r + -0.06r = 7.94r 4.15 + 7.94r = 0.29 Solving 4.15 + 7.94r = 0.29 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4.15' to each side of the equation. 4.15 + -4.15 + 7.94r = 0.29 + -4.15 Combine like terms: 4.15 + -4.15 = 0.00 0.00 + 7.94r = 0.29 + -4.15 7.94r = 0.29 + -4.15 Combine like terms: 0.29 + -4.15 = -3.86 7.94r = -3.86 Divide each side by '7.94'. r = -0.4861460957 Simplifying r = -0.4861460957
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