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Simplifying -6(2d + 3) = 42 Reorder the terms: -6(3 + 2d) = 42 (3 * -6 + 2d * -6) = 42 (-18 + -12d) = 42 Solving -18 + -12d = 42 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -12d = 42 + 18 Combine like terms: -18 + 18 = 0 0 + -12d = 42 + 18 -12d = 42 + 18 Combine like terms: 42 + 18 = 60 -12d = 60 Divide each side by '-12'. d = -5 Simplifying d = -5
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