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Simplifying 5(u + -8) + 7u = -16 Reorder the terms: 5(-8 + u) + 7u = -16 (-8 * 5 + u * 5) + 7u = -16 (-40 + 5u) + 7u = -16 Combine like terms: 5u + 7u = 12u -40 + 12u = -16 Solving -40 + 12u = -16 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 12u = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 12u = -16 + 40 12u = -16 + 40 Combine like terms: -16 + 40 = 24 12u = 24 Divide each side by '12'. u = 2 Simplifying u = 2
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