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Simplifying 2(-4d + 3) = -42 Reorder the terms: 2(3 + -4d) = -42 (3 * 2 + -4d * 2) = -42 (6 + -8d) = -42 Solving 6 + -8d = -42 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 + -8d = -42 + -6 Combine like terms: 6 + -6 = 0 0 + -8d = -42 + -6 -8d = -42 + -6 Combine like terms: -42 + -6 = -48 -8d = -48 Divide each side by '-8'. d = 6 Simplifying d = 6
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