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Simplifying 11d + 27000(d + -7) = 4(7 + -2d) + 17 Reorder the terms: 11d + 27000(-7 + d) = 4(7 + -2d) + 17 11d + (-7 * 27000 + d * 27000) = 4(7 + -2d) + 17 11d + (-189000 + 27000d) = 4(7 + -2d) + 17 Reorder the terms: -189000 + 11d + 27000d = 4(7 + -2d) + 17 Combine like terms: 11d + 27000d = 27011d -189000 + 27011d = 4(7 + -2d) + 17 -189000 + 27011d = (7 * 4 + -2d * 4) + 17 -189000 + 27011d = (28 + -8d) + 17 Reorder the terms: -189000 + 27011d = 28 + 17 + -8d Combine like terms: 28 + 17 = 45 -189000 + 27011d = 45 + -8d Solving -189000 + 27011d = 45 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. -189000 + 27011d + 8d = 45 + -8d + 8d Combine like terms: 27011d + 8d = 27019d -189000 + 27019d = 45 + -8d + 8d Combine like terms: -8d + 8d = 0 -189000 + 27019d = 45 + 0 -189000 + 27019d = 45 Add '189000' to each side of the equation. -189000 + 189000 + 27019d = 45 + 189000 Combine like terms: -189000 + 189000 = 0 0 + 27019d = 45 + 189000 27019d = 45 + 189000 Combine like terms: 45 + 189000 = 189045 27019d = 189045 Divide each side by '27019'. d = 6.996743033 Simplifying d = 6.996743033
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