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Simplifying 72 = 8(d + 12) Reorder the terms: 72 = 8(12 + d) 72 = (12 * 8 + d * 8) 72 = (96 + 8d) Solving 72 = 96 + 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. 72 + -8d = 96 + 8d + -8d Combine like terms: 8d + -8d = 0 72 + -8d = 96 + 0 72 + -8d = 96 Add '-72' to each side of the equation. 72 + -72 + -8d = 96 + -72 Combine like terms: 72 + -72 = 0 0 + -8d = 96 + -72 -8d = 96 + -72 Combine like terms: 96 + -72 = 24 -8d = 24 Divide each side by '-8'. d = -3 Simplifying d = -3
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