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Simplifying d + -10 + -2d + 7 = 8 + d + -10 + -3 Reorder the terms: -10 + 7 + d + -2d = 8 + d + -10 + -3 Combine like terms: -10 + 7 = -3 -3 + d + -2d = 8 + d + -10 + -3 Combine like terms: d + -2d = -1d -3 + -1d = 8 + d + -10 + -3 Reorder the terms: -3 + -1d = 8 + -10 + -3 + d Combine like terms: 8 + -10 = -2 -3 + -1d = -2 + -3 + d Combine like terms: -2 + -3 = -5 -3 + -1d = -5 + d Solving -3 + -1d = -5 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -3 + -1d + -1d = -5 + d + -1d Combine like terms: -1d + -1d = -2d -3 + -2d = -5 + d + -1d Combine like terms: d + -1d = 0 -3 + -2d = -5 + 0 -3 + -2d = -5 Add '3' to each side of the equation. -3 + 3 + -2d = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -2d = -5 + 3 -2d = -5 + 3 Combine like terms: -5 + 3 = -2 -2d = -2 Divide each side by '-2'. d = 1 Simplifying d = 1
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