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Simplifying -10d + -2 = -8d + 10 + -5d Reorder the terms: -2 + -10d = -8d + 10 + -5d Reorder the terms: -2 + -10d = 10 + -8d + -5d Combine like terms: -8d + -5d = -13d -2 + -10d = 10 + -13d Solving -2 + -10d = 10 + -13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13d' to each side of the equation. -2 + -10d + 13d = 10 + -13d + 13d Combine like terms: -10d + 13d = 3d -2 + 3d = 10 + -13d + 13d Combine like terms: -13d + 13d = 0 -2 + 3d = 10 + 0 -2 + 3d = 10 Add '2' to each side of the equation. -2 + 2 + 3d = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3d = 10 + 2 3d = 10 + 2 Combine like terms: 10 + 2 = 12 3d = 12 Divide each side by '3'. d = 4 Simplifying d = 4
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