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Simplifying 5d + -2 + 2d = 9 + -4d Reorder the terms: -2 + 5d + 2d = 9 + -4d Combine like terms: 5d + 2d = 7d -2 + 7d = 9 + -4d Solving -2 + 7d = 9 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -2 + 7d + 4d = 9 + -4d + 4d Combine like terms: 7d + 4d = 11d -2 + 11d = 9 + -4d + 4d Combine like terms: -4d + 4d = 0 -2 + 11d = 9 + 0 -2 + 11d = 9 Add '2' to each side of the equation. -2 + 2 + 11d = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 11d = 9 + 2 11d = 9 + 2 Combine like terms: 9 + 2 = 11 11d = 11 Divide each side by '11'. d = 1 Simplifying d = 1
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