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Simplifying -3u + -19 = -5(u + 3) Reorder the terms: -19 + -3u = -5(u + 3) Reorder the terms: -19 + -3u = -5(3 + u) -19 + -3u = (3 * -5 + u * -5) -19 + -3u = (-15 + -5u) Solving -19 + -3u = -15 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -19 + -3u + 5u = -15 + -5u + 5u Combine like terms: -3u + 5u = 2u -19 + 2u = -15 + -5u + 5u Combine like terms: -5u + 5u = 0 -19 + 2u = -15 + 0 -19 + 2u = -15 Add '19' to each side of the equation. -19 + 19 + 2u = -15 + 19 Combine like terms: -19 + 19 = 0 0 + 2u = -15 + 19 2u = -15 + 19 Combine like terms: -15 + 19 = 4 2u = 4 Divide each side by '2'. u = 2 Simplifying u = 2
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