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Simplifying 3(d + -8) + -2 = 9(d + 2) + 1 Reorder the terms: 3(-8 + d) + -2 = 9(d + 2) + 1 (-8 * 3 + d * 3) + -2 = 9(d + 2) + 1 (-24 + 3d) + -2 = 9(d + 2) + 1 Reorder the terms: -24 + -2 + 3d = 9(d + 2) + 1 Combine like terms: -24 + -2 = -26 -26 + 3d = 9(d + 2) + 1 Reorder the terms: -26 + 3d = 9(2 + d) + 1 -26 + 3d = (2 * 9 + d * 9) + 1 -26 + 3d = (18 + 9d) + 1 Reorder the terms: -26 + 3d = 18 + 1 + 9d Combine like terms: 18 + 1 = 19 -26 + 3d = 19 + 9d Solving -26 + 3d = 19 + 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. -26 + 3d + -9d = 19 + 9d + -9d Combine like terms: 3d + -9d = -6d -26 + -6d = 19 + 9d + -9d Combine like terms: 9d + -9d = 0 -26 + -6d = 19 + 0 -26 + -6d = 19 Add '26' to each side of the equation. -26 + 26 + -6d = 19 + 26 Combine like terms: -26 + 26 = 0 0 + -6d = 19 + 26 -6d = 19 + 26 Combine like terms: 19 + 26 = 45 -6d = 45 Divide each side by '-6'. d = -7.5 Simplifying d = -7.5
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