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Simplifying 5(u + -1) = 7u + 6 + -2(-8u + -2) Reorder the terms: 5(-1 + u) = 7u + 6 + -2(-8u + -2) (-1 * 5 + u * 5) = 7u + 6 + -2(-8u + -2) (-5 + 5u) = 7u + 6 + -2(-8u + -2) Reorder the terms: -5 + 5u = 7u + 6 + -2(-2 + -8u) -5 + 5u = 7u + 6 + (-2 * -2 + -8u * -2) -5 + 5u = 7u + 6 + (4 + 16u) Reorder the terms: -5 + 5u = 6 + 4 + 7u + 16u Combine like terms: 6 + 4 = 10 -5 + 5u = 10 + 7u + 16u Combine like terms: 7u + 16u = 23u -5 + 5u = 10 + 23u Solving -5 + 5u = 10 + 23u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-23u' to each side of the equation. -5 + 5u + -23u = 10 + 23u + -23u Combine like terms: 5u + -23u = -18u -5 + -18u = 10 + 23u + -23u Combine like terms: 23u + -23u = 0 -5 + -18u = 10 + 0 -5 + -18u = 10 Add '5' to each side of the equation. -5 + 5 + -18u = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -18u = 10 + 5 -18u = 10 + 5 Combine like terms: 10 + 5 = 15 -18u = 15 Divide each side by '-18'. u = -0.8333333333 Simplifying u = -0.8333333333
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