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Simplifying 9 + 3(7d + -6) + 9 = 3d + -24d Reorder the terms: 9 + 3(-6 + 7d) + 9 = 3d + -24d 9 + (-6 * 3 + 7d * 3) + 9 = 3d + -24d 9 + (-18 + 21d) + 9 = 3d + -24d Reorder the terms: 9 + -18 + 9 + 21d = 3d + -24d Combine like terms: 9 + -18 = -9 -9 + 9 + 21d = 3d + -24d Combine like terms: -9 + 9 = 0 0 + 21d = 3d + -24d 21d = 3d + -24d Combine like terms: 3d + -24d = -21d 21d = -21d Solving 21d = -21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '21d' to each side of the equation. 21d + 21d = -21d + 21d Combine like terms: 21d + 21d = 42d 42d = -21d + 21d Combine like terms: -21d + 21d = 0 42d = 0 Divide each side by '42'. d = 0 Simplifying d = 0
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