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Simplifying 8.7(r + 4) + 4.4 = -2(r + 2.3) + 0.5 Reorder the terms: 8.7(4 + r) + 4.4 = -2(r + 2.3) + 0.5 (4 * 8.7 + r * 8.7) + 4.4 = -2(r + 2.3) + 0.5 (34.8 + 8.7r) + 4.4 = -2(r + 2.3) + 0.5 Reorder the terms: 34.8 + 4.4 + 8.7r = -2(r + 2.3) + 0.5 Combine like terms: 34.8 + 4.4 = 39.2 39.2 + 8.7r = -2(r + 2.3) + 0.5 Reorder the terms: 39.2 + 8.7r = -2(2.3 + r) + 0.5 39.2 + 8.7r = (2.3 * -2 + r * -2) + 0.5 39.2 + 8.7r = (-4.6 + -2r) + 0.5 Reorder the terms: 39.2 + 8.7r = -4.6 + 0.5 + -2r Combine like terms: -4.6 + 0.5 = -4.1 39.2 + 8.7r = -4.1 + -2r Solving 39.2 + 8.7r = -4.1 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 39.2 + 8.7r + 2r = -4.1 + -2r + 2r Combine like terms: 8.7r + 2r = 10.7r 39.2 + 10.7r = -4.1 + -2r + 2r Combine like terms: -2r + 2r = 0 39.2 + 10.7r = -4.1 + 0 39.2 + 10.7r = -4.1 Add '-39.2' to each side of the equation. 39.2 + -39.2 + 10.7r = -4.1 + -39.2 Combine like terms: 39.2 + -39.2 = 0.0 0.0 + 10.7r = -4.1 + -39.2 10.7r = -4.1 + -39.2 Combine like terms: -4.1 + -39.2 = -43.3 10.7r = -43.3 Divide each side by '10.7'. r = -4.046728972 Simplifying r = -4.046728972
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