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Simplifying 6(u + 5) = -3(4u + -4) + 6u Reorder the terms: 6(5 + u) = -3(4u + -4) + 6u (5 * 6 + u * 6) = -3(4u + -4) + 6u (30 + 6u) = -3(4u + -4) + 6u Reorder the terms: 30 + 6u = -3(-4 + 4u) + 6u 30 + 6u = (-4 * -3 + 4u * -3) + 6u 30 + 6u = (12 + -12u) + 6u Combine like terms: -12u + 6u = -6u 30 + 6u = 12 + -6u Solving 30 + 6u = 12 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 30 + 6u + 6u = 12 + -6u + 6u Combine like terms: 6u + 6u = 12u 30 + 12u = 12 + -6u + 6u Combine like terms: -6u + 6u = 0 30 + 12u = 12 + 0 30 + 12u = 12 Add '-30' to each side of the equation. 30 + -30 + 12u = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 12u = 12 + -30 12u = 12 + -30 Combine like terms: 12 + -30 = -18 12u = -18 Divide each side by '12'. u = -1.5 Simplifying u = -1.5
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