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Simplifying -6(u + 1) = 2(1 + 3u) + -8 Reorder the terms: -6(1 + u) = 2(1 + 3u) + -8 (1 * -6 + u * -6) = 2(1 + 3u) + -8 (-6 + -6u) = 2(1 + 3u) + -8 -6 + -6u = (1 * 2 + 3u * 2) + -8 -6 + -6u = (2 + 6u) + -8 Reorder the terms: -6 + -6u = 2 + -8 + 6u Combine like terms: 2 + -8 = -6 -6 + -6u = -6 + 6u Add '6' to each side of the equation. -6 + 6 + -6u = -6 + 6 + 6u Combine like terms: -6 + 6 = 0 0 + -6u = -6 + 6 + 6u -6u = -6 + 6 + 6u Combine like terms: -6 + 6 = 0 -6u = 0 + 6u -6u = 6u Solving -6u = 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -6u + -6u = 6u + -6u Combine like terms: -6u + -6u = -12u -12u = 6u + -6u Combine like terms: 6u + -6u = 0 -12u = 0 Divide each side by '-12'. u = 0 Simplifying u = 0
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