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Simplifying 5d + -3 + d = 2d + 7 + -1d Reorder the terms: -3 + 5d + d = 2d + 7 + -1d Combine like terms: 5d + d = 6d -3 + 6d = 2d + 7 + -1d Reorder the terms: -3 + 6d = 7 + 2d + -1d Combine like terms: 2d + -1d = 1d -3 + 6d = 7 + 1d Solving -3 + 6d = 7 + 1d 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 + 6d + -1d = 7 + 1d + -1d Combine like terms: 6d + -1d = 5d -3 + 5d = 7 + 1d + -1d Combine like terms: 1d + -1d = 0 -3 + 5d = 7 + 0 -3 + 5d = 7 Add '3' to each side of the equation. -3 + 3 + 5d = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 5d = 7 + 3 5d = 7 + 3 Combine like terms: 7 + 3 = 10 5d = 10 Divide each side by '5'. d = 2 Simplifying d = 2
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