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Simplifying 4u + -38 = 2(u + -9) Reorder the terms: -38 + 4u = 2(u + -9) Reorder the terms: -38 + 4u = 2(-9 + u) -38 + 4u = (-9 * 2 + u * 2) -38 + 4u = (-18 + 2u) Solving -38 + 4u = -18 + 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 + 4u + -2u = -18 + 2u + -2u Combine like terms: 4u + -2u = 2u -38 + 2u = -18 + 2u + -2u Combine like terms: 2u + -2u = 0 -38 + 2u = -18 + 0 -38 + 2u = -18 Add '38' to each side of the equation. -38 + 38 + 2u = -18 + 38 Combine like terms: -38 + 38 = 0 0 + 2u = -18 + 38 2u = -18 + 38 Combine like terms: -18 + 38 = 20 2u = 20 Divide each side by '2'. u = 10 Simplifying u = 10
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