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Simplifying 9u + -47 = 7(u + -5) Reorder the terms: -47 + 9u = 7(u + -5) Reorder the terms: -47 + 9u = 7(-5 + u) -47 + 9u = (-5 * 7 + u * 7) -47 + 9u = (-35 + 7u) Solving -47 + 9u = -35 + 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. -47 + 9u + -7u = -35 + 7u + -7u Combine like terms: 9u + -7u = 2u -47 + 2u = -35 + 7u + -7u Combine like terms: 7u + -7u = 0 -47 + 2u = -35 + 0 -47 + 2u = -35 Add '47' to each side of the equation. -47 + 47 + 2u = -35 + 47 Combine like terms: -47 + 47 = 0 0 + 2u = -35 + 47 2u = -35 + 47 Combine like terms: -35 + 47 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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