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Simplifying 2u + -38 = -5(u + -5) Reorder the terms: -38 + 2u = -5(u + -5) Reorder the terms: -38 + 2u = -5(-5 + u) -38 + 2u = (-5 * -5 + u * -5) -38 + 2u = (25 + -5u) Solving -38 + 2u = 25 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -38 + 2u + 5u = 25 + -5u + 5u Combine like terms: 2u + 5u = 7u -38 + 7u = 25 + -5u + 5u Combine like terms: -5u + 5u = 0 -38 + 7u = 25 + 0 -38 + 7u = 25 Add '38' to each side of the equation. -38 + 38 + 7u = 25 + 38 Combine like terms: -38 + 38 = 0 0 + 7u = 25 + 38 7u = 25 + 38 Combine like terms: 25 + 38 = 63 7u = 63 Divide each side by '7'. u = 9 Simplifying u = 9
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