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Simplifying 3 + -1d + -2 = 4 + -2d + -4 + 7 Reorder the terms: 3 + -2 + -1d = 4 + -2d + -4 + 7 Combine like terms: 3 + -2 = 1 1 + -1d = 4 + -2d + -4 + 7 Reorder the terms: 1 + -1d = 4 + -4 + 7 + -2d Combine like terms: 4 + -4 = 0 1 + -1d = 0 + 7 + -2d 1 + -1d = 7 + -2d Solving 1 + -1d = 7 + -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. 1 + -1d + 2d = 7 + -2d + 2d Combine like terms: -1d + 2d = 1d 1 + 1d = 7 + -2d + 2d Combine like terms: -2d + 2d = 0 1 + 1d = 7 + 0 1 + 1d = 7 Add '-1' to each side of the equation. 1 + -1 + 1d = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1d = 7 + -1 1d = 7 + -1 Combine like terms: 7 + -1 = 6 1d = 6 Divide each side by '1'. d = 6 Simplifying d = 6
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