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Simplifying 2u + 1 = -7(u + -4) Reorder the terms: 1 + 2u = -7(u + -4) Reorder the terms: 1 + 2u = -7(-4 + u) 1 + 2u = (-4 * -7 + u * -7) 1 + 2u = (28 + -7u) Solving 1 + 2u = 28 + -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. 1 + 2u + 7u = 28 + -7u + 7u Combine like terms: 2u + 7u = 9u 1 + 9u = 28 + -7u + 7u Combine like terms: -7u + 7u = 0 1 + 9u = 28 + 0 1 + 9u = 28 Add '-1' to each side of the equation. 1 + -1 + 9u = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 9u = 28 + -1 9u = 28 + -1 Combine like terms: 28 + -1 = 27 9u = 27 Divide each side by '9'. u = 3 Simplifying u = 3
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