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Simplifying -3(4d + 2) = -78 Reorder the terms: -3(2 + 4d) = -78 (2 * -3 + 4d * -3) = -78 (-6 + -12d) = -78 Solving -6 + -12d = -78 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -12d = -78 + 6 Combine like terms: -6 + 6 = 0 0 + -12d = -78 + 6 -12d = -78 + 6 Combine like terms: -78 + 6 = -72 -12d = -72 Divide each side by '-12'. d = 6 Simplifying d = 6
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