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Simplifying -3(-6u + 6) + -7u = 2(u + -4) + -4 Reorder the terms: -3(6 + -6u) + -7u = 2(u + -4) + -4 (6 * -3 + -6u * -3) + -7u = 2(u + -4) + -4 (-18 + 18u) + -7u = 2(u + -4) + -4 Combine like terms: 18u + -7u = 11u -18 + 11u = 2(u + -4) + -4 Reorder the terms: -18 + 11u = 2(-4 + u) + -4 -18 + 11u = (-4 * 2 + u * 2) + -4 -18 + 11u = (-8 + 2u) + -4 Reorder the terms: -18 + 11u = -8 + -4 + 2u Combine like terms: -8 + -4 = -12 -18 + 11u = -12 + 2u Solving -18 + 11u = -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. -18 + 11u + -2u = -12 + 2u + -2u Combine like terms: 11u + -2u = 9u -18 + 9u = -12 + 2u + -2u Combine like terms: 2u + -2u = 0 -18 + 9u = -12 + 0 -18 + 9u = -12 Add '18' to each side of the equation. -18 + 18 + 9u = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 9u = -12 + 18 9u = -12 + 18 Combine like terms: -12 + 18 = 6 9u = 6 Divide each side by '9'. u = 0.6666666667 Simplifying u = 0.6666666667
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