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Simplifying 15d + -16 = 7d + 32 Reorder the terms: -16 + 15d = 7d + 32 Reorder the terms: -16 + 15d = 32 + 7d Solving -16 + 15d = 32 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -16 + 15d + -7d = 32 + 7d + -7d Combine like terms: 15d + -7d = 8d -16 + 8d = 32 + 7d + -7d Combine like terms: 7d + -7d = 0 -16 + 8d = 32 + 0 -16 + 8d = 32 Add '16' to each side of the equation. -16 + 16 + 8d = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 8d = 32 + 16 8d = 32 + 16 Combine like terms: 32 + 16 = 48 8d = 48 Divide each side by '8'. d = 6 Simplifying d = 6
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