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Simplifying 6d + -4d + 2d + -9 = 5d Reorder the terms: -9 + 6d + -4d + 2d = 5d Combine like terms: 6d + -4d = 2d -9 + 2d + 2d = 5d Combine like terms: 2d + 2d = 4d -9 + 4d = 5d Solving -9 + 4d = 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 + 4d + -5d = 5d + -5d Combine like terms: 4d + -5d = -1d -9 + -1d = 5d + -5d Combine like terms: 5d + -5d = 0 -9 + -1d = 0 Add '9' to each side of the equation. -9 + 9 + -1d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1d = 0 + 9 -1d = 0 + 9 Combine like terms: 0 + 9 = 9 -1d = 9 Divide each side by '-1'. d = -9 Simplifying d = -9
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