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Simplifying d + -2 = 2d + 5 + -3 Reorder the terms: -2 + d = 2d + 5 + -3 Reorder the terms: -2 + d = 5 + -3 + 2d Combine like terms: 5 + -3 = 2 -2 + d = 2 + 2d Solving -2 + d = 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. -2 + d + -2d = 2 + 2d + -2d Combine like terms: d + -2d = -1d -2 + -1d = 2 + 2d + -2d Combine like terms: 2d + -2d = 0 -2 + -1d = 2 + 0 -2 + -1d = 2 Add '2' to each side of the equation. -2 + 2 + -1d = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 2 + 2 -1d = 2 + 2 Combine like terms: 2 + 2 = 4 -1d = 4 Divide each side by '-1'. d = -4 Simplifying d = -4
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