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Simplifying -42 = 6(2d + -3) Reorder the terms: -42 = 6(-3 + 2d) -42 = (-3 * 6 + 2d * 6) -42 = (-18 + 12d) Solving -42 = -18 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -42 + -12d = -18 + 12d + -12d Combine like terms: 12d + -12d = 0 -42 + -12d = -18 + 0 -42 + -12d = -18 Add '42' to each side of the equation. -42 + 42 + -12d = -18 + 42 Combine like terms: -42 + 42 = 0 0 + -12d = -18 + 42 -12d = -18 + 42 Combine like terms: -18 + 42 = 24 -12d = 24 Divide each side by '-12'. d = -2 Simplifying d = -2
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