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Simplifying -5(u + 8) = -7u + -30 Reorder the terms: -5(8 + u) = -7u + -30 (8 * -5 + u * -5) = -7u + -30 (-40 + -5u) = -7u + -30 Reorder the terms: -40 + -5u = -30 + -7u Solving -40 + -5u = -30 + -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. -40 + -5u + 7u = -30 + -7u + 7u Combine like terms: -5u + 7u = 2u -40 + 2u = -30 + -7u + 7u Combine like terms: -7u + 7u = 0 -40 + 2u = -30 + 0 -40 + 2u = -30 Add '40' to each side of the equation. -40 + 40 + 2u = -30 + 40 Combine like terms: -40 + 40 = 0 0 + 2u = -30 + 40 2u = -30 + 40 Combine like terms: -30 + 40 = 10 2u = 10 Divide each side by '2'. u = 5 Simplifying u = 5
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