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Simplifying 3(-12d + 12) = -6(-9 + 9d) Reorder the terms: 3(12 + -12d) = -6(-9 + 9d) (12 * 3 + -12d * 3) = -6(-9 + 9d) (36 + -36d) = -6(-9 + 9d) 36 + -36d = (-9 * -6 + 9d * -6) 36 + -36d = (54 + -54d) Solving 36 + -36d = 54 + -54d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '54d' to each side of the equation. 36 + -36d + 54d = 54 + -54d + 54d Combine like terms: -36d + 54d = 18d 36 + 18d = 54 + -54d + 54d Combine like terms: -54d + 54d = 0 36 + 18d = 54 + 0 36 + 18d = 54 Add '-36' to each side of the equation. 36 + -36 + 18d = 54 + -36 Combine like terms: 36 + -36 = 0 0 + 18d = 54 + -36 18d = 54 + -36 Combine like terms: 54 + -36 = 18 18d = 18 Divide each side by '18'. d = 1 Simplifying d = 1
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