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Simplifying (3u + -5) * 7 = 7 + 7u Reorder the terms: (-5 + 3u) * 7 = 7 + 7u Reorder the terms for easier multiplication: 7(-5 + 3u) = 7 + 7u (-5 * 7 + 3u * 7) = 7 + 7u (-35 + 21u) = 7 + 7u Solving -35 + 21u = 7 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -35 + 21u + -7u = 7 + 7u + -7u Combine like terms: 21u + -7u = 14u -35 + 14u = 7 + 7u + -7u Combine like terms: 7u + -7u = 0 -35 + 14u = 7 + 0 -35 + 14u = 7 Add '35' to each side of the equation. -35 + 35 + 14u = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 14u = 7 + 35 14u = 7 + 35 Combine like terms: 7 + 35 = 42 14u = 42 Divide each side by '14'. u = 3 Simplifying u = 3
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