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Simplifying 7(u + -6) + -8 = -4(-5u + 9) + -9u Reorder the terms: 7(-6 + u) + -8 = -4(-5u + 9) + -9u (-6 * 7 + u * 7) + -8 = -4(-5u + 9) + -9u (-42 + 7u) + -8 = -4(-5u + 9) + -9u Reorder the terms: -42 + -8 + 7u = -4(-5u + 9) + -9u Combine like terms: -42 + -8 = -50 -50 + 7u = -4(-5u + 9) + -9u Reorder the terms: -50 + 7u = -4(9 + -5u) + -9u -50 + 7u = (9 * -4 + -5u * -4) + -9u -50 + 7u = (-36 + 20u) + -9u Combine like terms: 20u + -9u = 11u -50 + 7u = -36 + 11u Solving -50 + 7u = -36 + 11u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-11u' to each side of the equation. -50 + 7u + -11u = -36 + 11u + -11u Combine like terms: 7u + -11u = -4u -50 + -4u = -36 + 11u + -11u Combine like terms: 11u + -11u = 0 -50 + -4u = -36 + 0 -50 + -4u = -36 Add '50' to each side of the equation. -50 + 50 + -4u = -36 + 50 Combine like terms: -50 + 50 = 0 0 + -4u = -36 + 50 -4u = -36 + 50 Combine like terms: -36 + 50 = 14 -4u = 14 Divide each side by '-4'. u = -3.5 Simplifying u = -3.5
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