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Simplifying 6u + 4 + -2(-7u + -2) = 5(u + -2) Reorder the terms: 6u + 4 + -2(-2 + -7u) = 5(u + -2) 6u + 4 + (-2 * -2 + -7u * -2) = 5(u + -2) 6u + 4 + (4 + 14u) = 5(u + -2) Reorder the terms: 4 + 4 + 6u + 14u = 5(u + -2) Combine like terms: 4 + 4 = 8 8 + 6u + 14u = 5(u + -2) Combine like terms: 6u + 14u = 20u 8 + 20u = 5(u + -2) Reorder the terms: 8 + 20u = 5(-2 + u) 8 + 20u = (-2 * 5 + u * 5) 8 + 20u = (-10 + 5u) Solving 8 + 20u = -10 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 8 + 20u + -5u = -10 + 5u + -5u Combine like terms: 20u + -5u = 15u 8 + 15u = -10 + 5u + -5u Combine like terms: 5u + -5u = 0 8 + 15u = -10 + 0 8 + 15u = -10 Add '-8' to each side of the equation. 8 + -8 + 15u = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 15u = -10 + -8 15u = -10 + -8 Combine like terms: -10 + -8 = -18 15u = -18 Divide each side by '15'. u = -1.2 Simplifying u = -1.2
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