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Simplifying 7u + 2 + -2(-7u + -3) = 5(u + -2) Reorder the terms: 7u + 2 + -2(-3 + -7u) = 5(u + -2) 7u + 2 + (-3 * -2 + -7u * -2) = 5(u + -2) 7u + 2 + (6 + 14u) = 5(u + -2) Reorder the terms: 2 + 6 + 7u + 14u = 5(u + -2) Combine like terms: 2 + 6 = 8 8 + 7u + 14u = 5(u + -2) Combine like terms: 7u + 14u = 21u 8 + 21u = 5(u + -2) Reorder the terms: 8 + 21u = 5(-2 + u) 8 + 21u = (-2 * 5 + u * 5) 8 + 21u = (-10 + 5u) Solving 8 + 21u = -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 + 21u + -5u = -10 + 5u + -5u Combine like terms: 21u + -5u = 16u 8 + 16u = -10 + 5u + -5u Combine like terms: 5u + -5u = 0 8 + 16u = -10 + 0 8 + 16u = -10 Add '-8' to each side of the equation. 8 + -8 + 16u = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 16u = -10 + -8 16u = -10 + -8 Combine like terms: -10 + -8 = -18 16u = -18 Divide each side by '16'. u = -1.125 Simplifying u = -1.125
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