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Simplifying -3(5d + 6) = 18 + 7d Reorder the terms: -3(6 + 5d) = 18 + 7d (6 * -3 + 5d * -3) = 18 + 7d (-18 + -15d) = 18 + 7d Solving -18 + -15d = 18 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -18 + -15d + -7d = 18 + 7d + -7d Combine like terms: -15d + -7d = -22d -18 + -22d = 18 + 7d + -7d Combine like terms: 7d + -7d = 0 -18 + -22d = 18 + 0 -18 + -22d = 18 Add '18' to each side of the equation. -18 + 18 + -22d = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -22d = 18 + 18 -22d = 18 + 18 Combine like terms: 18 + 18 = 36 -22d = 36 Divide each side by '-22'. d = -1.636363636 Simplifying d = -1.636363636
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