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Simplifying 4u + -47 = -9(u + -2) Reorder the terms: -47 + 4u = -9(u + -2) Reorder the terms: -47 + 4u = -9(-2 + u) -47 + 4u = (-2 * -9 + u * -9) -47 + 4u = (18 + -9u) Solving -47 + 4u = 18 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. -47 + 4u + 9u = 18 + -9u + 9u Combine like terms: 4u + 9u = 13u -47 + 13u = 18 + -9u + 9u Combine like terms: -9u + 9u = 0 -47 + 13u = 18 + 0 -47 + 13u = 18 Add '47' to each side of the equation. -47 + 47 + 13u = 18 + 47 Combine like terms: -47 + 47 = 0 0 + 13u = 18 + 47 13u = 18 + 47 Combine like terms: 18 + 47 = 65 13u = 65 Divide each side by '13'. u = 5 Simplifying u = 5
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