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Simplifying 4(u + 1) = 2u + -6 Reorder the terms: 4(1 + u) = 2u + -6 (1 * 4 + u * 4) = 2u + -6 (4 + 4u) = 2u + -6 Reorder the terms: 4 + 4u = -6 + 2u Solving 4 + 4u = -6 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 4 + 4u + -2u = -6 + 2u + -2u Combine like terms: 4u + -2u = 2u 4 + 2u = -6 + 2u + -2u Combine like terms: 2u + -2u = 0 4 + 2u = -6 + 0 4 + 2u = -6 Add '-4' to each side of the equation. 4 + -4 + 2u = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2u = -6 + -4 2u = -6 + -4 Combine like terms: -6 + -4 = -10 2u = -10 Divide each side by '2'. u = -5 Simplifying u = -5
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