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Simplifying 5(u + -8) = 9u + -16 Reorder the terms: 5(-8 + u) = 9u + -16 (-8 * 5 + u * 5) = 9u + -16 (-40 + 5u) = 9u + -16 Reorder the terms: -40 + 5u = -16 + 9u Solving -40 + 5u = -16 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -40 + 5u + -9u = -16 + 9u + -9u Combine like terms: 5u + -9u = -4u -40 + -4u = -16 + 9u + -9u Combine like terms: 9u + -9u = 0 -40 + -4u = -16 + 0 -40 + -4u = -16 Add '40' to each side of the equation. -40 + 40 + -4u = -16 + 40 Combine like terms: -40 + 40 = 0 0 + -4u = -16 + 40 -4u = -16 + 40 Combine like terms: -16 + 40 = 24 -4u = 24 Divide each side by '-4'. u = -6 Simplifying u = -6
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