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Simplifying 0.04(2 + 1) + -0.03(2r + -5) = 0.29 Combine like terms: 2 + 1 = 3 0.04(3) + -0.03(2r + -5) = 0.29 Multiply 0.04 * 3 0.12 + -0.03(2r + -5) = 0.29 Reorder the terms: 0.12 + -0.03(-5 + 2r) = 0.29 0.12 + (-5 * -0.03 + 2r * -0.03) = 0.29 0.12 + (0.15 + -0.06r) = 0.29 Combine like terms: 0.12 + 0.15 = 0.27 0.27 + -0.06r = 0.29 Solving 0.27 + -0.06r = 0.29 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.27' to each side of the equation. 0.27 + -0.27 + -0.06r = 0.29 + -0.27 Combine like terms: 0.27 + -0.27 = 0.00 0.00 + -0.06r = 0.29 + -0.27 -0.06r = 0.29 + -0.27 Combine like terms: 0.29 + -0.27 = 0.02 -0.06r = 0.02 Divide each side by '-0.06'. r = -0.3333333333 Simplifying r = -0.3333333333
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