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Simplifying 0.75u + -6 = 2.34u + 8 Reorder the terms: -6 + 0.75u = 2.34u + 8 Reorder the terms: -6 + 0.75u = 8 + 2.34u Solving -6 + 0.75u = 8 + 2.34u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2.34u' to each side of the equation. -6 + 0.75u + -2.34u = 8 + 2.34u + -2.34u Combine like terms: 0.75u + -2.34u = -1.59u -6 + -1.59u = 8 + 2.34u + -2.34u Combine like terms: 2.34u + -2.34u = 0.00 -6 + -1.59u = 8 + 0.00 -6 + -1.59u = 8 Add '6' to each side of the equation. -6 + 6 + -1.59u = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -1.59u = 8 + 6 -1.59u = 8 + 6 Combine like terms: 8 + 6 = 14 -1.59u = 14 Divide each side by '-1.59'. u = -8.805031447 Simplifying u = -8.805031447
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