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Simplifying -3(u + 1) + 7u = 4u + u + -7 Reorder the terms: -3(1 + u) + 7u = 4u + u + -7 (1 * -3 + u * -3) + 7u = 4u + u + -7 (-3 + -3u) + 7u = 4u + u + -7 Combine like terms: -3u + 7u = 4u -3 + 4u = 4u + u + -7 Reorder the terms: -3 + 4u = -7 + 4u + u Combine like terms: 4u + u = 5u -3 + 4u = -7 + 5u Solving -3 + 4u = -7 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -3 + 4u + -5u = -7 + 5u + -5u Combine like terms: 4u + -5u = -1u -3 + -1u = -7 + 5u + -5u Combine like terms: 5u + -5u = 0 -3 + -1u = -7 + 0 -3 + -1u = -7 Add '3' to each side of the equation. -3 + 3 + -1u = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -1u = -7 + 3 -1u = -7 + 3 Combine like terms: -7 + 3 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4
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