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Simplifying 13 + -5 = 3(3d + 7) Combine like terms: 13 + -5 = 8 8 = 3(3d + 7) Reorder the terms: 8 = 3(7 + 3d) 8 = (7 * 3 + 3d * 3) 8 = (21 + 9d) Solving 8 = 21 + 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. 8 + -9d = 21 + 9d + -9d Combine like terms: 9d + -9d = 0 8 + -9d = 21 + 0 8 + -9d = 21 Add '-8' to each side of the equation. 8 + -8 + -9d = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -9d = 21 + -8 -9d = 21 + -8 Combine like terms: 21 + -8 = 13 -9d = 13 Divide each side by '-9'. d = -1.444444444 Simplifying d = -1.444444444
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