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Simplifying 2(4 + -6d) = 8d + -72 (4 * 2 + -6d * 2) = 8d + -72 (8 + -12d) = 8d + -72 Reorder the terms: 8 + -12d = -72 + 8d Solving 8 + -12d = -72 + 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. 8 + -12d + -8d = -72 + 8d + -8d Combine like terms: -12d + -8d = -20d 8 + -20d = -72 + 8d + -8d Combine like terms: 8d + -8d = 0 8 + -20d = -72 + 0 8 + -20d = -72 Add '-8' to each side of the equation. 8 + -8 + -20d = -72 + -8 Combine like terms: 8 + -8 = 0 0 + -20d = -72 + -8 -20d = -72 + -8 Combine like terms: -72 + -8 = -80 -20d = -80 Divide each side by '-20'. d = 4 Simplifying d = 4
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