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