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Simplifying 2d + -3 + 2d = 5d + -8 + 1 Reorder the terms: -3 + 2d + 2d = 5d + -8 + 1 Combine like terms: 2d + 2d = 4d -3 + 4d = 5d + -8 + 1 Reorder the terms: -3 + 4d = -8 + 1 + 5d Combine like terms: -8 + 1 = -7 -3 + 4d = -7 + 5d Solving -3 + 4d = -7 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -3 + 4d + -5d = -7 + 5d + -5d Combine like terms: 4d + -5d = -1d -3 + -1d = -7 + 5d + -5d Combine like terms: 5d + -5d = 0 -3 + -1d = -7 + 0 -3 + -1d = -7 Add '3' to each side of the equation. -3 + 3 + -1d = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -1d = -7 + 3 -1d = -7 + 3 Combine like terms: -7 + 3 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4
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