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Simplifying 12(4r + -0.83r) + 20 = 19r + -15 + 0.45r Combine like terms: 4r + -0.83r = 3.17r 12(3.17r) + 20 = 19r + -15 + 0.45r Remove parenthesis around (3.17r) 12 * 3.17r + 20 = 19r + -15 + 0.45r Multiply 12 * 3.17 38.04r + 20 = 19r + -15 + 0.45r Reorder the terms: 20 + 38.04r = 19r + -15 + 0.45r Reorder the terms: 20 + 38.04r = -15 + 19r + 0.45r Combine like terms: 19r + 0.45r = 19.45r 20 + 38.04r = -15 + 19.45r Solving 20 + 38.04r = -15 + 19.45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19.45r' to each side of the equation. 20 + 38.04r + -19.45r = -15 + 19.45r + -19.45r Combine like terms: 38.04r + -19.45r = 18.59r 20 + 18.59r = -15 + 19.45r + -19.45r Combine like terms: 19.45r + -19.45r = 0.00 20 + 18.59r = -15 + 0.00 20 + 18.59r = -15 Add '-20' to each side of the equation. 20 + -20 + 18.59r = -15 + -20 Combine like terms: 20 + -20 = 0 0 + 18.59r = -15 + -20 18.59r = -15 + -20 Combine like terms: -15 + -20 = -35 18.59r = -35 Divide each side by '18.59'. r = -1.882732652 Simplifying r = -1.882732652
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