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Simplifying 6u + 48 = -9(u + -2) Reorder the terms: 48 + 6u = -9(u + -2) Reorder the terms: 48 + 6u = -9(-2 + u) 48 + 6u = (-2 * -9 + u * -9) 48 + 6u = (18 + -9u) Solving 48 + 6u = 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. 48 + 6u + 9u = 18 + -9u + 9u Combine like terms: 6u + 9u = 15u 48 + 15u = 18 + -9u + 9u Combine like terms: -9u + 9u = 0 48 + 15u = 18 + 0 48 + 15u = 18 Add '-48' to each side of the equation. 48 + -48 + 15u = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 15u = 18 + -48 15u = 18 + -48 Combine like terms: 18 + -48 = -30 15u = -30 Divide each side by '15'. u = -2 Simplifying u = -2
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