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Simplifying 3u + -19 = 7(u + -5) Reorder the terms: -19 + 3u = 7(u + -5) Reorder the terms: -19 + 3u = 7(-5 + u) -19 + 3u = (-5 * 7 + u * 7) -19 + 3u = (-35 + 7u) Solving -19 + 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. -19 + 3u + -7u = -35 + 7u + -7u Combine like terms: 3u + -7u = -4u -19 + -4u = -35 + 7u + -7u Combine like terms: 7u + -7u = 0 -19 + -4u = -35 + 0 -19 + -4u = -35 Add '19' to each side of the equation. -19 + 19 + -4u = -35 + 19 Combine like terms: -19 + 19 = 0 0 + -4u = -35 + 19 -4u = -35 + 19 Combine like terms: -35 + 19 = -16 -4u = -16 Divide each side by '-4'. u = 4 Simplifying u = 4
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