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Simplifying 6d + 13 + -8d + 10 = 8d Reorder the terms: 13 + 10 + 6d + -8d = 8d Combine like terms: 13 + 10 = 23 23 + 6d + -8d = 8d Combine like terms: 6d + -8d = -2d 23 + -2d = 8d Solving 23 + -2d = 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 23 + -2d + -8d = 8d + -8d Combine like terms: -2d + -8d = -10d 23 + -10d = 8d + -8d Combine like terms: 8d + -8d = 0 23 + -10d = 0 Add '-23' to each side of the equation. 23 + -23 + -10d = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -10d = 0 + -23 -10d = 0 + -23 Combine like terms: 0 + -23 = -23 -10d = -23 Divide each side by '-10'. d = 2.3 Simplifying d = 2.3
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