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Simplifying 8 + -1(4r + 7) = 5(r + 6) + -2 Reorder the terms: 8 + -1(7 + 4r) = 5(r + 6) + -2 8 + (7 * -1 + 4r * -1) = 5(r + 6) + -2 8 + (-7 + -4r) = 5(r + 6) + -2 Combine like terms: 8 + -7 = 1 1 + -4r = 5(r + 6) + -2 Reorder the terms: 1 + -4r = 5(6 + r) + -2 1 + -4r = (6 * 5 + r * 5) + -2 1 + -4r = (30 + 5r) + -2 Reorder the terms: 1 + -4r = 30 + -2 + 5r Combine like terms: 30 + -2 = 28 1 + -4r = 28 + 5r Solving 1 + -4r = 28 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 1 + -4r + -5r = 28 + 5r + -5r Combine like terms: -4r + -5r = -9r 1 + -9r = 28 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -9r = 28 + 0 1 + -9r = 28 Add '-1' to each side of the equation. 1 + -1 + -9r = 28 + -1 Combine like terms: 1 + -1 = 0 0 + -9r = 28 + -1 -9r = 28 + -1 Combine like terms: 28 + -1 = 27 -9r = 27 Divide each side by '-9'. r = -3 Simplifying r = -3
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