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Simplifying -6u + -38 = -2(u + 3) Reorder the terms: -38 + -6u = -2(u + 3) Reorder the terms: -38 + -6u = -2(3 + u) -38 + -6u = (3 * -2 + u * -2) -38 + -6u = (-6 + -2u) Solving -38 + -6u = -6 + -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 + -6u + 2u = -6 + -2u + 2u Combine like terms: -6u + 2u = -4u -38 + -4u = -6 + -2u + 2u Combine like terms: -2u + 2u = 0 -38 + -4u = -6 + 0 -38 + -4u = -6 Add '38' to each side of the equation. -38 + 38 + -4u = -6 + 38 Combine like terms: -38 + 38 = 0 0 + -4u = -6 + 38 -4u = -6 + 38 Combine like terms: -6 + 38 = 32 -4u = 32 Divide each side by '-4'. u = -8 Simplifying u = -8
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