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Simplifying -3u + -34 = -7(u + 2) Reorder the terms: -34 + -3u = -7(u + 2) Reorder the terms: -34 + -3u = -7(2 + u) -34 + -3u = (2 * -7 + u * -7) -34 + -3u = (-14 + -7u) Solving -34 + -3u = -14 + -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. -34 + -3u + 7u = -14 + -7u + 7u Combine like terms: -3u + 7u = 4u -34 + 4u = -14 + -7u + 7u Combine like terms: -7u + 7u = 0 -34 + 4u = -14 + 0 -34 + 4u = -14 Add '34' to each side of the equation. -34 + 34 + 4u = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 4u = -14 + 34 4u = -14 + 34 Combine like terms: -14 + 34 = 20 4u = 20 Divide each side by '4'. u = 5 Simplifying u = 5
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