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Simplifying 12d + -7 = 9d + -1 Reorder the terms: -7 + 12d = 9d + -1 Reorder the terms: -7 + 12d = -1 + 9d Solving -7 + 12d = -1 + 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. -7 + 12d + -9d = -1 + 9d + -9d Combine like terms: 12d + -9d = 3d -7 + 3d = -1 + 9d + -9d Combine like terms: 9d + -9d = 0 -7 + 3d = -1 + 0 -7 + 3d = -1 Add '7' to each side of the equation. -7 + 7 + 3d = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 3d = -1 + 7 3d = -1 + 7 Combine like terms: -1 + 7 = 6 3d = 6 Divide each side by '3'. d = 2 Simplifying d = 2
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