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Simplifying 7d + 49 + 9 = 13 + -9d + 2 + 6d Reorder the terms: 49 + 9 + 7d = 13 + -9d + 2 + 6d Combine like terms: 49 + 9 = 58 58 + 7d = 13 + -9d + 2 + 6d Reorder the terms: 58 + 7d = 13 + 2 + -9d + 6d Combine like terms: 13 + 2 = 15 58 + 7d = 15 + -9d + 6d Combine like terms: -9d + 6d = -3d 58 + 7d = 15 + -3d Solving 58 + 7d = 15 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. 58 + 7d + 3d = 15 + -3d + 3d Combine like terms: 7d + 3d = 10d 58 + 10d = 15 + -3d + 3d Combine like terms: -3d + 3d = 0 58 + 10d = 15 + 0 58 + 10d = 15 Add '-58' to each side of the equation. 58 + -58 + 10d = 15 + -58 Combine like terms: 58 + -58 = 0 0 + 10d = 15 + -58 10d = 15 + -58 Combine like terms: 15 + -58 = -43 10d = -43 Divide each side by '10'. d = -4.3 Simplifying d = -4.3
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