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Simplifying 3(4d + -8) + (7 + -1d) = 0 Reorder the terms: 3(-8 + 4d) + (7 + -1d) = 0 (-8 * 3 + 4d * 3) + (7 + -1d) = 0 (-24 + 12d) + (7 + -1d) = 0 Remove parenthesis around (7 + -1d) -24 + 12d + 7 + -1d = 0 Reorder the terms: -24 + 7 + 12d + -1d = 0 Combine like terms: -24 + 7 = -17 -17 + 12d + -1d = 0 Combine like terms: 12d + -1d = 11d -17 + 11d = 0 Solving -17 + 11d = 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 + 11d = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 11d = 0 + 17 11d = 0 + 17 Combine like terms: 0 + 17 = 17 11d = 17 Divide each side by '11'. d = 1.545454545 Simplifying d = 1.545454545
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