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Simplifying -30 + -4d = -3(8d + 5) Reorder the terms: -30 + -4d = -3(5 + 8d) -30 + -4d = (5 * -3 + 8d * -3) -30 + -4d = (-15 + -24d) Solving -30 + -4d = -15 + -24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24d' to each side of the equation. -30 + -4d + 24d = -15 + -24d + 24d Combine like terms: -4d + 24d = 20d -30 + 20d = -15 + -24d + 24d Combine like terms: -24d + 24d = 0 -30 + 20d = -15 + 0 -30 + 20d = -15 Add '30' to each side of the equation. -30 + 30 + 20d = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 20d = -15 + 30 20d = -15 + 30 Combine like terms: -15 + 30 = 15 20d = 15 Divide each side by '20'. d = 0.75 Simplifying d = 0.75
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