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