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Simplifying 14 = 3d + -15 + 2d + -6 Reorder the terms: 14 = -15 + -6 + 3d + 2d Combine like terms: -15 + -6 = -21 14 = -21 + 3d + 2d Combine like terms: 3d + 2d = 5d 14 = -21 + 5d Solving 14 = -21 + 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. 14 + -5d = -21 + 5d + -5d Combine like terms: 5d + -5d = 0 14 + -5d = -21 + 0 14 + -5d = -21 Add '-14' to each side of the equation. 14 + -14 + -5d = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -5d = -21 + -14 -5d = -21 + -14 Combine like terms: -21 + -14 = -35 -5d = -35 Divide each side by '-5'. d = 7 Simplifying d = 7
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