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Simplifying -3(-4u + 7) + -1u = 2(u + -7) + -4 Reorder the terms: -3(7 + -4u) + -1u = 2(u + -7) + -4 (7 * -3 + -4u * -3) + -1u = 2(u + -7) + -4 (-21 + 12u) + -1u = 2(u + -7) + -4 Combine like terms: 12u + -1u = 11u -21 + 11u = 2(u + -7) + -4 Reorder the terms: -21 + 11u = 2(-7 + u) + -4 -21 + 11u = (-7 * 2 + u * 2) + -4 -21 + 11u = (-14 + 2u) + -4 Reorder the terms: -21 + 11u = -14 + -4 + 2u Combine like terms: -14 + -4 = -18 -21 + 11u = -18 + 2u Solving -21 + 11u = -18 + 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. -21 + 11u + -2u = -18 + 2u + -2u Combine like terms: 11u + -2u = 9u -21 + 9u = -18 + 2u + -2u Combine like terms: 2u + -2u = 0 -21 + 9u = -18 + 0 -21 + 9u = -18 Add '21' to each side of the equation. -21 + 21 + 9u = -18 + 21 Combine like terms: -21 + 21 = 0 0 + 9u = -18 + 21 9u = -18 + 21 Combine like terms: -18 + 21 = 3 9u = 3 Divide each side by '9'. u = 0.3333333333 Simplifying u = 0.3333333333
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