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Simplifying 5d + -9 + -1(7 + -4d) = 0 5d + -9 + (7 * -1 + -4d * -1) = 0 5d + -9 + (-7 + 4d) = 0 Reorder the terms: -9 + -7 + 5d + 4d = 0 Combine like terms: -9 + -7 = -16 -16 + 5d + 4d = 0 Combine like terms: 5d + 4d = 9d -16 + 9d = 0 Solving -16 + 9d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9d = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9d = 0 + 16 9d = 0 + 16 Combine like terms: 0 + 16 = 16 9d = 16 Divide each side by '9'. d = 1.777777778 Simplifying d = 1.777777778
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