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Simplifying 3(u + -5) = 7u + -35 Reorder the terms: 3(-5 + u) = 7u + -35 (-5 * 3 + u * 3) = 7u + -35 (-15 + 3u) = 7u + -35 Reorder the terms: -15 + 3u = -35 + 7u Solving -15 + 3u = -35 + 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. -15 + 3u + -7u = -35 + 7u + -7u Combine like terms: 3u + -7u = -4u -15 + -4u = -35 + 7u + -7u Combine like terms: 7u + -7u = 0 -15 + -4u = -35 + 0 -15 + -4u = -35 Add '15' to each side of the equation. -15 + 15 + -4u = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -4u = -35 + 15 -4u = -35 + 15 Combine like terms: -35 + 15 = -20 -4u = -20 Divide each side by '-4'. u = 5 Simplifying u = 5
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