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Simplifying 6(-2d + 3) + -4(-4d) = 0 Reorder the terms: 6(3 + -2d) + -4(-4d) = 0 (3 * 6 + -2d * 6) + -4(-4d) = 0 (18 + -12d) + -4(-4d) = 0 Remove parenthesis around (-4d) 18 + -12d + -4 * -4d = 0 Multiply -4 * -4 18 + -12d + 16d = 0 Combine like terms: -12d + 16d = 4d 18 + 4d = 0 Solving 18 + 4d = 0 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 + 4d = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 4d = 0 + -18 4d = 0 + -18 Combine like terms: 0 + -18 = -18 4d = -18 Divide each side by '4'. d = -4.5 Simplifying d = -4.5
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