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Simplifying 30 = -5(4d + 6) Reorder the terms: 30 = -5(6 + 4d) 30 = (6 * -5 + 4d * -5) 30 = (-30 + -20d) Solving 30 = -30 + -20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20d' to each side of the equation. 30 + 20d = -30 + -20d + 20d Combine like terms: -20d + 20d = 0 30 + 20d = -30 + 0 30 + 20d = -30 Add '-30' to each side of the equation. 30 + -30 + 20d = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 20d = -30 + -30 20d = -30 + -30 Combine like terms: -30 + -30 = -60 20d = -60 Divide each side by '20'. d = -3 Simplifying d = -3
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