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Simplifying 7(u + -1) = u + 1 + -2(-5u + -1) Reorder the terms: 7(-1 + u) = u + 1 + -2(-5u + -1) (-1 * 7 + u * 7) = u + 1 + -2(-5u + -1) (-7 + 7u) = u + 1 + -2(-5u + -1) Reorder the terms: -7 + 7u = u + 1 + -2(-1 + -5u) -7 + 7u = u + 1 + (-1 * -2 + -5u * -2) -7 + 7u = u + 1 + (2 + 10u) Reorder the terms: -7 + 7u = 1 + 2 + u + 10u Combine like terms: 1 + 2 = 3 -7 + 7u = 3 + u + 10u Combine like terms: u + 10u = 11u -7 + 7u = 3 + 11u Solving -7 + 7u = 3 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -7 + 7u + -11u = 3 + 11u + -11u Combine like terms: 7u + -11u = -4u -7 + -4u = 3 + 11u + -11u Combine like terms: 11u + -11u = 0 -7 + -4u = 3 + 0 -7 + -4u = 3 Add '7' to each side of the equation. -7 + 7 + -4u = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -4u = 3 + 7 -4u = 3 + 7 Combine like terms: 3 + 7 = 10 -4u = 10 Divide each side by '-4'. u = -2.5 Simplifying u = -2.5
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