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Simplifying -18 + -12d = -6(5d + -15) Reorder the terms: -18 + -12d = -6(-15 + 5d) -18 + -12d = (-15 * -6 + 5d * -6) -18 + -12d = (90 + -30d) Solving -18 + -12d = 90 + -30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30d' to each side of the equation. -18 + -12d + 30d = 90 + -30d + 30d Combine like terms: -12d + 30d = 18d -18 + 18d = 90 + -30d + 30d Combine like terms: -30d + 30d = 0 -18 + 18d = 90 + 0 -18 + 18d = 90 Add '18' to each side of the equation. -18 + 18 + 18d = 90 + 18 Combine like terms: -18 + 18 = 0 0 + 18d = 90 + 18 18d = 90 + 18 Combine like terms: 90 + 18 = 108 18d = 108 Divide each side by '18'. d = 6 Simplifying d = 6
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