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Simplifying -3(-6d + 5) = -9(-1d + -19) + -6 Reorder the terms: -3(5 + -6d) = -9(-1d + -19) + -6 (5 * -3 + -6d * -3) = -9(-1d + -19) + -6 (-15 + 18d) = -9(-1d + -19) + -6 Reorder the terms: -15 + 18d = -9(-19 + -1d) + -6 -15 + 18d = (-19 * -9 + -1d * -9) + -6 -15 + 18d = (171 + 9d) + -6 Reorder the terms: -15 + 18d = 171 + -6 + 9d Combine like terms: 171 + -6 = 165 -15 + 18d = 165 + 9d Solving -15 + 18d = 165 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -15 + 18d + -9d = 165 + 9d + -9d Combine like terms: 18d + -9d = 9d -15 + 9d = 165 + 9d + -9d Combine like terms: 9d + -9d = 0 -15 + 9d = 165 + 0 -15 + 9d = 165 Add '15' to each side of the equation. -15 + 15 + 9d = 165 + 15 Combine like terms: -15 + 15 = 0 0 + 9d = 165 + 15 9d = 165 + 15 Combine like terms: 165 + 15 = 180 9d = 180 Divide each side by '9'. d = 20 Simplifying d = 20
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