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Simplifying -2u + 1 = -7(u + 7) Reorder the terms: 1 + -2u = -7(u + 7) Reorder the terms: 1 + -2u = -7(7 + u) 1 + -2u = (7 * -7 + u * -7) 1 + -2u = (-49 + -7u) Solving 1 + -2u = -49 + -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 = -49 + -7u + 7u Combine like terms: -2u + 7u = 5u 1 + 5u = -49 + -7u + 7u Combine like terms: -7u + 7u = 0 1 + 5u = -49 + 0 1 + 5u = -49 Add '-1' to each side of the equation. 1 + -1 + 5u = -49 + -1 Combine like terms: 1 + -1 = 0 0 + 5u = -49 + -1 5u = -49 + -1 Combine like terms: -49 + -1 = -50 5u = -50 Divide each side by '5'. u = -10 Simplifying u = -10
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