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Simplifying 6d + -9 = -5d + 13 Reorder the terms: -9 + 6d = -5d + 13 Reorder the terms: -9 + 6d = 13 + -5d Solving -9 + 6d = 13 + -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. -9 + 6d + 5d = 13 + -5d + 5d Combine like terms: 6d + 5d = 11d -9 + 11d = 13 + -5d + 5d Combine like terms: -5d + 5d = 0 -9 + 11d = 13 + 0 -9 + 11d = 13 Add '9' to each side of the equation. -9 + 9 + 11d = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 11d = 13 + 9 11d = 13 + 9 Combine like terms: 13 + 9 = 22 11d = 22 Divide each side by '11'. d = 2 Simplifying d = 2
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