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Simplifying -5d + -7 + -2d = 8 + -10d Reorder the terms: -7 + -5d + -2d = 8 + -10d Combine like terms: -5d + -2d = -7d -7 + -7d = 8 + -10d Solving -7 + -7d = 8 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. -7 + -7d + 10d = 8 + -10d + 10d Combine like terms: -7d + 10d = 3d -7 + 3d = 8 + -10d + 10d Combine like terms: -10d + 10d = 0 -7 + 3d = 8 + 0 -7 + 3d = 8 Add '7' to each side of the equation. -7 + 7 + 3d = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3d = 8 + 7 3d = 8 + 7 Combine like terms: 8 + 7 = 15 3d = 15 Divide each side by '3'. d = 5 Simplifying d = 5
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