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Simplifying 15d + 6 + -1d = 2d + -6 Reorder the terms: 6 + 15d + -1d = 2d + -6 Combine like terms: 15d + -1d = 14d 6 + 14d = 2d + -6 Reorder the terms: 6 + 14d = -6 + 2d Solving 6 + 14d = -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. 6 + 14d + -2d = -6 + 2d + -2d Combine like terms: 14d + -2d = 12d 6 + 12d = -6 + 2d + -2d Combine like terms: 2d + -2d = 0 6 + 12d = -6 + 0 6 + 12d = -6 Add '-6' to each side of the equation. 6 + -6 + 12d = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 12d = -6 + -6 12d = -6 + -6 Combine like terms: -6 + -6 = -12 12d = -12 Divide each side by '12'. d = -1 Simplifying d = -1
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