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Simplifying 7d + d + -1d + -4d + -7 = 5d Reorder the terms: -7 + 7d + d + -1d + -4d = 5d Combine like terms: 7d + d = 8d -7 + 8d + -1d + -4d = 5d Combine like terms: 8d + -1d = 7d -7 + 7d + -4d = 5d Combine like terms: 7d + -4d = 3d -7 + 3d = 5d Solving -7 + 3d = 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. -7 + 3d + -5d = 5d + -5d Combine like terms: 3d + -5d = -2d -7 + -2d = 5d + -5d Combine like terms: 5d + -5d = 0 -7 + -2d = 0 Add '7' to each side of the equation. -7 + 7 + -2d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2d = 0 + 7 -2d = 0 + 7 Combine like terms: 0 + 7 = 7 -2d = 7 Divide each side by '-2'. d = -3.5 Simplifying d = -3.5
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