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Simplifying -9u + 40 = -7(u + -8) Reorder the terms: 40 + -9u = -7(u + -8) Reorder the terms: 40 + -9u = -7(-8 + u) 40 + -9u = (-8 * -7 + u * -7) 40 + -9u = (56 + -7u) Solving 40 + -9u = 56 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. 40 + -9u + 7u = 56 + -7u + 7u Combine like terms: -9u + 7u = -2u 40 + -2u = 56 + -7u + 7u Combine like terms: -7u + 7u = 0 40 + -2u = 56 + 0 40 + -2u = 56 Add '-40' to each side of the equation. 40 + -40 + -2u = 56 + -40 Combine like terms: 40 + -40 = 0 0 + -2u = 56 + -40 -2u = 56 + -40 Combine like terms: 56 + -40 = 16 -2u = 16 Divide each side by '-2'. u = -8 Simplifying u = -8
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