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Simplifying -9(-5d + -12) + -9d = -18d Reorder the terms: -9(-12 + -5d) + -9d = -18d (-12 * -9 + -5d * -9) + -9d = -18d (108 + 45d) + -9d = -18d Combine like terms: 45d + -9d = 36d 108 + 36d = -18d Solving 108 + 36d = -18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18d' to each side of the equation. 108 + 36d + 18d = -18d + 18d Combine like terms: 36d + 18d = 54d 108 + 54d = -18d + 18d Combine like terms: -18d + 18d = 0 108 + 54d = 0 Add '-108' to each side of the equation. 108 + -108 + 54d = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 54d = 0 + -108 54d = 0 + -108 Combine like terms: 0 + -108 = -108 54d = -108 Divide each side by '54'. d = -2 Simplifying d = -2
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