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Simplifying 7d + -4d + -1d + -6 = 5d Reorder the terms: -6 + 7d + -4d + -1d = 5d Combine like terms: 7d + -4d = 3d -6 + 3d + -1d = 5d Combine like terms: 3d + -1d = 2d -6 + 2d = 5d Solving -6 + 2d = 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. -6 + 2d + -5d = 5d + -5d Combine like terms: 2d + -5d = -3d -6 + -3d = 5d + -5d Combine like terms: 5d + -5d = 0 -6 + -3d = 0 Add '6' to each side of the equation. -6 + 6 + -3d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3d = 0 + 6 -3d = 0 + 6 Combine like terms: 0 + 6 = 6 -3d = 6 Divide each side by '-3'. d = -2 Simplifying d = -2
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