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Simplifying 10d + 15 = 6d + 3 Reorder the terms: 15 + 10d = 6d + 3 Reorder the terms: 15 + 10d = 3 + 6d Solving 15 + 10d = 3 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 15 + 10d + -6d = 3 + 6d + -6d Combine like terms: 10d + -6d = 4d 15 + 4d = 3 + 6d + -6d Combine like terms: 6d + -6d = 0 15 + 4d = 3 + 0 15 + 4d = 3 Add '-15' to each side of the equation. 15 + -15 + 4d = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 4d = 3 + -15 4d = 3 + -15 Combine like terms: 3 + -15 = -12 4d = -12 Divide each side by '4'. d = -3 Simplifying d = -3
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