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Simplifying 1d + -10 + -2d + 7 = 8 + 1d + -10 + -3d Reorder the terms: -10 + 7 + 1d + -2d = 8 + 1d + -10 + -3d Combine like terms: -10 + 7 = -3 -3 + 1d + -2d = 8 + 1d + -10 + -3d Combine like terms: 1d + -2d = -1d -3 + -1d = 8 + 1d + -10 + -3d Reorder the terms: -3 + -1d = 8 + -10 + 1d + -3d Combine like terms: 8 + -10 = -2 -3 + -1d = -2 + 1d + -3d Combine like terms: 1d + -3d = -2d -3 + -1d = -2 + -2d Solving -3 + -1d = -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. -3 + -1d + 2d = -2 + -2d + 2d Combine like terms: -1d + 2d = 1d -3 + 1d = -2 + -2d + 2d Combine like terms: -2d + 2d = 0 -3 + 1d = -2 + 0 -3 + 1d = -2 Add '3' to each side of the equation. -3 + 3 + 1d = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 1d = -2 + 3 1d = -2 + 3 Combine like terms: -2 + 3 = 1 1d = 1 Divide each side by '1'. d = 1 Simplifying d = 1
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