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Simplifying -75 = -5(u + 8) Reorder the terms: -75 = -5(8 + u) -75 = (8 * -5 + u * -5) -75 = (-40 + -5u) Solving -75 = -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. -75 + 5u = -40 + -5u + 5u Combine like terms: -5u + 5u = 0 -75 + 5u = -40 + 0 -75 + 5u = -40 Add '75' to each side of the equation. -75 + 75 + 5u = -40 + 75 Combine like terms: -75 + 75 = 0 0 + 5u = -40 + 75 5u = -40 + 75 Combine like terms: -40 + 75 = 35 5u = 35 Divide each side by '5'. u = 7 Simplifying u = 7
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