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Simplifying 7 + -5d = 6 + -2d + -8 Reorder the terms: 7 + -5d = 6 + -8 + -2d Combine like terms: 6 + -8 = -2 7 + -5d = -2 + -2d Solving 7 + -5d = -2 + -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. 7 + -5d + 2d = -2 + -2d + 2d Combine like terms: -5d + 2d = -3d 7 + -3d = -2 + -2d + 2d Combine like terms: -2d + 2d = 0 7 + -3d = -2 + 0 7 + -3d = -2 Add '-7' to each side of the equation. 7 + -7 + -3d = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -3d = -2 + -7 -3d = -2 + -7 Combine like terms: -2 + -7 = -9 -3d = -9 Divide each side by '-3'. d = 3 Simplifying d = 3
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