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Simplifying 7u + -13 = 3(u + 1) Reorder the terms: -13 + 7u = 3(u + 1) Reorder the terms: -13 + 7u = 3(1 + u) -13 + 7u = (1 * 3 + u * 3) -13 + 7u = (3 + 3u) Solving -13 + 7u = 3 + 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. -13 + 7u + -3u = 3 + 3u + -3u Combine like terms: 7u + -3u = 4u -13 + 4u = 3 + 3u + -3u Combine like terms: 3u + -3u = 0 -13 + 4u = 3 + 0 -13 + 4u = 3 Add '13' to each side of the equation. -13 + 13 + 4u = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 4u = 3 + 13 4u = 3 + 13 Combine like terms: 3 + 13 = 16 4u = 16 Divide each side by '4'. u = 4 Simplifying u = 4
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