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Simplifying 5d + 2d + -3 = 12 + 9d Reorder the terms: -3 + 5d + 2d = 12 + 9d Combine like terms: 5d + 2d = 7d -3 + 7d = 12 + 9d Solving -3 + 7d = 12 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -3 + 7d + -9d = 12 + 9d + -9d Combine like terms: 7d + -9d = -2d -3 + -2d = 12 + 9d + -9d Combine like terms: 9d + -9d = 0 -3 + -2d = 12 + 0 -3 + -2d = 12 Add '3' to each side of the equation. -3 + 3 + -2d = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -2d = 12 + 3 -2d = 12 + 3 Combine like terms: 12 + 3 = 15 -2d = 15 Divide each side by '-2'. d = -7.5 Simplifying d = -7.5
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