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Simplifying -32 = -3u + 5(u + -8) Reorder the terms: -32 = -3u + 5(-8 + u) -32 = -3u + (-8 * 5 + u * 5) -32 = -3u + (-40 + 5u) Reorder the terms: -32 = -40 + -3u + 5u Combine like terms: -3u + 5u = 2u -32 = -40 + 2u Solving -32 = -40 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -32 + -2u = -40 + 2u + -2u Combine like terms: 2u + -2u = 0 -32 + -2u = -40 + 0 -32 + -2u = -40 Add '32' to each side of the equation. -32 + 32 + -2u = -40 + 32 Combine like terms: -32 + 32 = 0 0 + -2u = -40 + 32 -2u = -40 + 32 Combine like terms: -40 + 32 = -8 -2u = -8 Divide each side by '-2'. u = 4 Simplifying u = 4
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