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Simplifying -4(u + 2) + 2 = 2(u + 6) Reorder the terms: -4(2 + u) + 2 = 2(u + 6) (2 * -4 + u * -4) + 2 = 2(u + 6) (-8 + -4u) + 2 = 2(u + 6) Reorder the terms: -8 + 2 + -4u = 2(u + 6) Combine like terms: -8 + 2 = -6 -6 + -4u = 2(u + 6) Reorder the terms: -6 + -4u = 2(6 + u) -6 + -4u = (6 * 2 + u * 2) -6 + -4u = (12 + 2u) Solving -6 + -4u = 12 + 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. -6 + -4u + -2u = 12 + 2u + -2u Combine like terms: -4u + -2u = -6u -6 + -6u = 12 + 2u + -2u Combine like terms: 2u + -2u = 0 -6 + -6u = 12 + 0 -6 + -6u = 12 Add '6' to each side of the equation. -6 + 6 + -6u = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6u = 12 + 6 -6u = 12 + 6 Combine like terms: 12 + 6 = 18 -6u = 18 Divide each side by '-6'. u = -3 Simplifying u = -3
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