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Simplifying -7u + -38 = 4(u + 7) Reorder the terms: -38 + -7u = 4(u + 7) Reorder the terms: -38 + -7u = 4(7 + u) -38 + -7u = (7 * 4 + u * 4) -38 + -7u = (28 + 4u) Solving -38 + -7u = 28 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -38 + -7u + -4u = 28 + 4u + -4u Combine like terms: -7u + -4u = -11u -38 + -11u = 28 + 4u + -4u Combine like terms: 4u + -4u = 0 -38 + -11u = 28 + 0 -38 + -11u = 28 Add '38' to each side of the equation. -38 + 38 + -11u = 28 + 38 Combine like terms: -38 + 38 = 0 0 + -11u = 28 + 38 -11u = 28 + 38 Combine like terms: 28 + 38 = 66 -11u = 66 Divide each side by '-11'. u = -6 Simplifying u = -6
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