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Simplifying 7(u + -4) = 5u + -40 Reorder the terms: 7(-4 + u) = 5u + -40 (-4 * 7 + u * 7) = 5u + -40 (-28 + 7u) = 5u + -40 Reorder the terms: -28 + 7u = -40 + 5u Solving -28 + 7u = -40 + 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. -28 + 7u + -5u = -40 + 5u + -5u Combine like terms: 7u + -5u = 2u -28 + 2u = -40 + 5u + -5u Combine like terms: 5u + -5u = 0 -28 + 2u = -40 + 0 -28 + 2u = -40 Add '28' to each side of the equation. -28 + 28 + 2u = -40 + 28 Combine like terms: -28 + 28 = 0 0 + 2u = -40 + 28 2u = -40 + 28 Combine like terms: -40 + 28 = -12 2u = -12 Divide each side by '2'. u = -6 Simplifying u = -6
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