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Simplifying 1 + 4d = -2d + 7d + 7 Reorder the terms: 1 + 4d = 7 + -2d + 7d Combine like terms: -2d + 7d = 5d 1 + 4d = 7 + 5d Solving 1 + 4d = 7 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 1 + 4d + -5d = 7 + 5d + -5d Combine like terms: 4d + -5d = -1d 1 + -1d = 7 + 5d + -5d Combine like terms: 5d + -5d = 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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