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Simplifying -27 = 9 + 3(-6 + -3d) -27 = 9 + (-6 * 3 + -3d * 3) -27 = 9 + (-18 + -9d) Combine like terms: 9 + -18 = -9 -27 = -9 + -9d Solving -27 = -9 + -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. -27 + 9d = -9 + -9d + 9d Combine like terms: -9d + 9d = 0 -27 + 9d = -9 + 0 -27 + 9d = -9 Add '27' to each side of the equation. -27 + 27 + 9d = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 9d = -9 + 27 9d = -9 + 27 Combine like terms: -9 + 27 = 18 9d = 18 Divide each side by '9'. d = 2 Simplifying d = 2
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