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Simplifying -4(u + 1) = 2(1 + 2u) + -6 Reorder the terms: -4(1 + u) = 2(1 + 2u) + -6 (1 * -4 + u * -4) = 2(1 + 2u) + -6 (-4 + -4u) = 2(1 + 2u) + -6 -4 + -4u = (1 * 2 + 2u * 2) + -6 -4 + -4u = (2 + 4u) + -6 Reorder the terms: -4 + -4u = 2 + -6 + 4u Combine like terms: 2 + -6 = -4 -4 + -4u = -4 + 4u Add '4' to each side of the equation. -4 + 4 + -4u = -4 + 4 + 4u Combine like terms: -4 + 4 = 0 0 + -4u = -4 + 4 + 4u -4u = -4 + 4 + 4u Combine like terms: -4 + 4 = 0 -4u = 0 + 4u -4u = 4u Solving -4u = 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. -4u + -4u = 4u + -4u Combine like terms: -4u + -4u = -8u -8u = 4u + -4u Combine like terms: 4u + -4u = 0 -8u = 0 Divide each side by '-8'. u = 0 Simplifying u = 0
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