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Simplifying 7d + -9 + -1(d + 8) = 0 Reorder the terms: 7d + -9 + -1(8 + d) = 0 7d + -9 + (8 * -1 + d * -1) = 0 7d + -9 + (-8 + -1d) = 0 Reorder the terms: -9 + -8 + 7d + -1d = 0 Combine like terms: -9 + -8 = -17 -17 + 7d + -1d = 0 Combine like terms: 7d + -1d = 6d -17 + 6d = 0 Solving -17 + 6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6d = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 6d = 0 + 17 6d = 0 + 17 Combine like terms: 0 + 17 = 17 6d = 17 Divide each side by '6'. d = 2.833333333 Simplifying d = 2.833333333
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