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Simplifying 4u + -7 = u + 2(4 + u) Reorder the terms: -7 + 4u = u + 2(4 + u) -7 + 4u = u + (4 * 2 + u * 2) -7 + 4u = u + (8 + 2u) Reorder the terms: -7 + 4u = 8 + u + 2u Combine like terms: u + 2u = 3u -7 + 4u = 8 + 3u Solving -7 + 4u = 8 + 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. -7 + 4u + -3u = 8 + 3u + -3u Combine like terms: 4u + -3u = 1u -7 + 1u = 8 + 3u + -3u Combine like terms: 3u + -3u = 0 -7 + 1u = 8 + 0 -7 + 1u = 8 Add '7' to each side of the equation. -7 + 7 + 1u = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1u = 8 + 7 1u = 8 + 7 Combine like terms: 8 + 7 = 15 1u = 15 Divide each side by '1'. u = 15 Simplifying u = 15
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