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Simplifying 3(d + -8) + -5 = 9(d + 2) + -1 Reorder the terms: 3(-8 + d) + -5 = 9(d + 2) + -1 (-8 * 3 + d * 3) + -5 = 9(d + 2) + -1 (-24 + 3d) + -5 = 9(d + 2) + -1 Reorder the terms: -24 + -5 + 3d = 9(d + 2) + -1 Combine like terms: -24 + -5 = -29 -29 + 3d = 9(d + 2) + -1 Reorder the terms: -29 + 3d = 9(2 + d) + -1 -29 + 3d = (2 * 9 + d * 9) + -1 -29 + 3d = (18 + 9d) + -1 Reorder the terms: -29 + 3d = 18 + -1 + 9d Combine like terms: 18 + -1 = 17 -29 + 3d = 17 + 9d Solving -29 + 3d = 17 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -29 + 3d + -9d = 17 + 9d + -9d Combine like terms: 3d + -9d = -6d -29 + -6d = 17 + 9d + -9d Combine like terms: 9d + -9d = 0 -29 + -6d = 17 + 0 -29 + -6d = 17 Add '29' to each side of the equation. -29 + 29 + -6d = 17 + 29 Combine like terms: -29 + 29 = 0 0 + -6d = 17 + 29 -6d = 17 + 29 Combine like terms: 17 + 29 = 46 -6d = 46 Divide each side by '-6'. d = -7.666666667 Simplifying d = -7.666666667
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