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Simplifying -27 = -7(9d + -6) Reorder the terms: -27 = -7(-6 + 9d) -27 = (-6 * -7 + 9d * -7) -27 = (42 + -63d) Solving -27 = 42 + -63d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '63d' to each side of the equation. -27 + 63d = 42 + -63d + 63d Combine like terms: -63d + 63d = 0 -27 + 63d = 42 + 0 -27 + 63d = 42 Add '27' to each side of the equation. -27 + 27 + 63d = 42 + 27 Combine like terms: -27 + 27 = 0 0 + 63d = 42 + 27 63d = 42 + 27 Combine like terms: 42 + 27 = 69 63d = 69 Divide each side by '63'. d = 1.095238095 Simplifying d = 1.095238095
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