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Simplifying -5(2r + -0.03) + 0.05(4r + 3) = -64 Reorder the terms: -5(-0.03 + 2r) + 0.05(4r + 3) = -64 (-0.03 * -5 + 2r * -5) + 0.05(4r + 3) = -64 (0.15 + -10r) + 0.05(4r + 3) = -64 Reorder the terms: 0.15 + -10r + 0.05(3 + 4r) = -64 0.15 + -10r + (3 * 0.05 + 4r * 0.05) = -64 0.15 + -10r + (0.15 + 0.2r) = -64 Reorder the terms: 0.15 + 0.15 + -10r + 0.2r = -64 Combine like terms: 0.15 + 0.15 = 0.3 0.3 + -10r + 0.2r = -64 Combine like terms: -10r + 0.2r = -9.8r 0.3 + -9.8r = -64 Solving 0.3 + -9.8r = -64 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + -9.8r = -64 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -9.8r = -64 + -0.3 -9.8r = -64 + -0.3 Combine like terms: -64 + -0.3 = -64.3 -9.8r = -64.3 Divide each side by '-9.8'. r = 6.56122449 Simplifying r = 6.56122449
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