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Simplifying 12d + 6 = 18 + -48 + -9d Reorder the terms: 6 + 12d = 18 + -48 + -9d Combine like terms: 18 + -48 = -30 6 + 12d = -30 + -9d Solving 6 + 12d = -30 + -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. 6 + 12d + 9d = -30 + -9d + 9d Combine like terms: 12d + 9d = 21d 6 + 21d = -30 + -9d + 9d Combine like terms: -9d + 9d = 0 6 + 21d = -30 + 0 6 + 21d = -30 Add '-6' to each side of the equation. 6 + -6 + 21d = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 21d = -30 + -6 21d = -30 + -6 Combine like terms: -30 + -6 = -36 21d = -36 Divide each side by '21'. d = -1.714285714 Simplifying d = -1.714285714
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