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Simplifying 4d + 9 = 2d + -6 Reorder the terms: 9 + 4d = 2d + -6 Reorder the terms: 9 + 4d = -6 + 2d Solving 9 + 4d = -6 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 9 + 4d + -2d = -6 + 2d + -2d Combine like terms: 4d + -2d = 2d 9 + 2d = -6 + 2d + -2d Combine like terms: 2d + -2d = 0 9 + 2d = -6 + 0 9 + 2d = -6 Add '-9' to each side of the equation. 9 + -9 + 2d = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 2d = -6 + -9 2d = -6 + -9 Combine like terms: -6 + -9 = -15 2d = -15 Divide each side by '2'. d = -7.5 Simplifying d = -7.5
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