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Simplifying 6(u + -1) + -6 = -2(-3u + 7) + -4u Reorder the terms: 6(-1 + u) + -6 = -2(-3u + 7) + -4u (-1 * 6 + u * 6) + -6 = -2(-3u + 7) + -4u (-6 + 6u) + -6 = -2(-3u + 7) + -4u Reorder the terms: -6 + -6 + 6u = -2(-3u + 7) + -4u Combine like terms: -6 + -6 = -12 -12 + 6u = -2(-3u + 7) + -4u Reorder the terms: -12 + 6u = -2(7 + -3u) + -4u -12 + 6u = (7 * -2 + -3u * -2) + -4u -12 + 6u = (-14 + 6u) + -4u Combine like terms: 6u + -4u = 2u -12 + 6u = -14 + 2u Solving -12 + 6u = -14 + 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 + 6u + -2u = -14 + 2u + -2u Combine like terms: 6u + -2u = 4u -12 + 4u = -14 + 2u + -2u Combine like terms: 2u + -2u = 0 -12 + 4u = -14 + 0 -12 + 4u = -14 Add '12' to each side of the equation. -12 + 12 + 4u = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 4u = -14 + 12 4u = -14 + 12 Combine like terms: -14 + 12 = -2 4u = -2 Divide each side by '4'. u = -0.5 Simplifying u = -0.5
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