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Simplifying 12 + 7(d + -1) + 14 + -1d = 0 Reorder the terms: 12 + 7(-1 + d) + 14 + -1d = 0 12 + (-1 * 7 + d * 7) + 14 + -1d = 0 12 + (-7 + 7d) + 14 + -1d = 0 Reorder the terms: 12 + -7 + 14 + 7d + -1d = 0 Combine like terms: 12 + -7 = 5 5 + 14 + 7d + -1d = 0 Combine like terms: 5 + 14 = 19 19 + 7d + -1d = 0 Combine like terms: 7d + -1d = 6d 19 + 6d = 0 Solving 19 + 6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 6d = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6d = 0 + -19 6d = 0 + -19 Combine like terms: 0 + -19 = -19 6d = -19 Divide each side by '6'. d = -3.166666667 Simplifying d = -3.166666667
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