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Simplifying -2u + 12 = 2(u + 4) Reorder the terms: 12 + -2u = 2(u + 4) Reorder the terms: 12 + -2u = 2(4 + u) 12 + -2u = (4 * 2 + u * 2) 12 + -2u = (8 + 2u) Solving 12 + -2u = 8 + 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. 12 + -2u + -2u = 8 + 2u + -2u Combine like terms: -2u + -2u = -4u 12 + -4u = 8 + 2u + -2u Combine like terms: 2u + -2u = 0 12 + -4u = 8 + 0 12 + -4u = 8 Add '-12' to each side of the equation. 12 + -12 + -4u = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -4u = 8 + -12 -4u = 8 + -12 Combine like terms: 8 + -12 = -4 -4u = -4 Divide each side by '-4'. u = 1 Simplifying u = 1
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