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Simplifying -7(-2u + 6) + -1u = 4(u + -6) + -3 Reorder the terms: -7(6 + -2u) + -1u = 4(u + -6) + -3 (6 * -7 + -2u * -7) + -1u = 4(u + -6) + -3 (-42 + 14u) + -1u = 4(u + -6) + -3 Combine like terms: 14u + -1u = 13u -42 + 13u = 4(u + -6) + -3 Reorder the terms: -42 + 13u = 4(-6 + u) + -3 -42 + 13u = (-6 * 4 + u * 4) + -3 -42 + 13u = (-24 + 4u) + -3 Reorder the terms: -42 + 13u = -24 + -3 + 4u Combine like terms: -24 + -3 = -27 -42 + 13u = -27 + 4u Solving -42 + 13u = -27 + 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. -42 + 13u + -4u = -27 + 4u + -4u Combine like terms: 13u + -4u = 9u -42 + 9u = -27 + 4u + -4u Combine like terms: 4u + -4u = 0 -42 + 9u = -27 + 0 -42 + 9u = -27 Add '42' to each side of the equation. -42 + 42 + 9u = -27 + 42 Combine like terms: -42 + 42 = 0 0 + 9u = -27 + 42 9u = -27 + 42 Combine like terms: -27 + 42 = 15 9u = 15 Divide each side by '9'. u = 1.666666667 Simplifying u = 1.666666667
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