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Simplifying -8u + 5(v + -7) = -38 Reorder the terms: -8u + 5(-7 + v) = -38 -8u + (-7 * 5 + v * 5) = -38 -8u + (-35 + 5v) = -38 Reorder the terms: -35 + -8u + 5v = -38 Solving -35 + -8u + 5v = -38 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -8u + 35 + 5v = -38 + 35 Reorder the terms: -35 + 35 + -8u + 5v = -38 + 35 Combine like terms: -35 + 35 = 0 0 + -8u + 5v = -38 + 35 -8u + 5v = -38 + 35 Combine like terms: -38 + 35 = -3 -8u + 5v = -3 Add '-5v' to each side of the equation. -8u + 5v + -5v = -3 + -5v Combine like terms: 5v + -5v = 0 -8u + 0 = -3 + -5v -8u = -3 + -5v Divide each side by '-8'. u = 0.375 + 0.625v Simplifying u = 0.375 + 0.625v
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