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Simplifying -7u + 8 = 2(u + -5) Reorder the terms: 8 + -7u = 2(u + -5) Reorder the terms: 8 + -7u = 2(-5 + u) 8 + -7u = (-5 * 2 + u * 2) 8 + -7u = (-10 + 2u) Solving 8 + -7u = -10 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 8 + -7u + -2u = -10 + 2u + -2u Combine like terms: -7u + -2u = -9u 8 + -9u = -10 + 2u + -2u Combine like terms: 2u + -2u = 0 8 + -9u = -10 + 0 8 + -9u = -10 Add '-8' to each side of the equation. 8 + -8 + -9u = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9u = -10 + -8 -9u = -10 + -8 Combine like terms: -10 + -8 = -18 -9u = -18 Divide each side by '-9'. u = 2 Simplifying u = 2
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