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Simplifying 7d + 2(4d + 1) + -9 = 0 Reorder the terms: 7d + 2(1 + 4d) + -9 = 0 7d + (1 * 2 + 4d * 2) + -9 = 0 7d + (2 + 8d) + -9 = 0 Reorder the terms: 2 + -9 + 7d + 8d = 0 Combine like terms: 2 + -9 = -7 -7 + 7d + 8d = 0 Combine like terms: 7d + 8d = 15d -7 + 15d = 0 Solving -7 + 15d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 15d = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 15d = 0 + 7 15d = 0 + 7 Combine like terms: 0 + 7 = 7 15d = 7 Divide each side by '15'. d = 0.4666666667 Simplifying d = 0.4666666667
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