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Simplifying -38 = 5(u + -8) + -7u Reorder the terms: -38 = 5(-8 + u) + -7u -38 = (-8 * 5 + u * 5) + -7u -38 = (-40 + 5u) + -7u Combine like terms: 5u + -7u = -2u -38 = -40 + -2u Solving -38 = -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. -38 + 2u = -40 + -2u + 2u Combine like terms: -2u + 2u = 0 -38 + 2u = -40 + 0 -38 + 2u = -40 Add '38' to each side of the equation. -38 + 38 + 2u = -40 + 38 Combine like terms: -38 + 38 = 0 0 + 2u = -40 + 38 2u = -40 + 38 Combine like terms: -40 + 38 = -2 2u = -2 Divide each side by '2'. u = -1 Simplifying u = -1
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