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Simplifying -12 + 7(d + -1) + -1d = 0 Reorder the terms: -12 + 7(-1 + d) + -1d = 0 -12 + (-1 * 7 + d * 7) + -1d = 0 -12 + (-7 + 7d) + -1d = 0 Combine like terms: -12 + -7 = -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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