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Simplifying 7d + -1d + -4d + -7 = 5d Reorder the terms: -7 + 7d + -1d + -4d = 5d Combine like terms: 7d + -1d = 6d -7 + 6d + -4d = 5d Combine like terms: 6d + -4d = 2d -7 + 2d = 5d Solving -7 + 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. -7 + 2d + -5d = 5d + -5d Combine like terms: 2d + -5d = -3d -7 + -3d = 5d + -5d Combine like terms: 5d + -5d = 0 -7 + -3d = 0 Add '7' to each side of the equation. -7 + 7 + -3d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3d = 0 + 7 -3d = 0 + 7 Combine like terms: 0 + 7 = 7 -3d = 7 Divide each side by '-3'. d = -2.333333333 Simplifying d = -2.333333333
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