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Simplifying 7d + 9 = 2d + -1 Reorder the terms: 9 + 7d = 2d + -1 Reorder the terms: 9 + 7d = -1 + 2d Solving 9 + 7d = -1 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 9 + 7d + -2d = -1 + 2d + -2d Combine like terms: 7d + -2d = 5d 9 + 5d = -1 + 2d + -2d Combine like terms: 2d + -2d = 0 9 + 5d = -1 + 0 9 + 5d = -1 Add '-9' to each side of the equation. 9 + -9 + 5d = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 5d = -1 + -9 5d = -1 + -9 Combine like terms: -1 + -9 = -10 5d = -10 Divide each side by '5'. d = -2 Simplifying d = -2
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