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Simplifying 4u + -34 = -3(u + -5) Reorder the terms: -34 + 4u = -3(u + -5) Reorder the terms: -34 + 4u = -3(-5 + u) -34 + 4u = (-5 * -3 + u * -3) -34 + 4u = (15 + -3u) Solving -34 + 4u = 15 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. -34 + 4u + 3u = 15 + -3u + 3u Combine like terms: 4u + 3u = 7u -34 + 7u = 15 + -3u + 3u Combine like terms: -3u + 3u = 0 -34 + 7u = 15 + 0 -34 + 7u = 15 Add '34' to each side of the equation. -34 + 34 + 7u = 15 + 34 Combine like terms: -34 + 34 = 0 0 + 7u = 15 + 34 7u = 15 + 34 Combine like terms: 15 + 34 = 49 7u = 49 Divide each side by '7'. u = 7 Simplifying u = 7
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