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Simplifying 12d + 6 = 18 + -1(48 + -9d) Reorder the terms: 6 + 12d = 18 + -1(48 + -9d) 6 + 12d = 18 + (48 * -1 + -9d * -1) 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 = 3d 6 + 3d = -30 + 9d + -9d Combine like terms: 9d + -9d = 0 6 + 3d = -30 + 0 6 + 3d = -30 Add '-6' to each side of the equation. 6 + -6 + 3d = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3d = -30 + -6 3d = -30 + -6 Combine like terms: -30 + -6 = -36 3d = -36 Divide each side by '3'. d = -12 Simplifying d = -12
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