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Simplifying 7u + 48 = -6(u + 5) Reorder the terms: 48 + 7u = -6(u + 5) Reorder the terms: 48 + 7u = -6(5 + u) 48 + 7u = (5 * -6 + u * -6) 48 + 7u = (-30 + -6u) Solving 48 + 7u = -30 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. 48 + 7u + 6u = -30 + -6u + 6u Combine like terms: 7u + 6u = 13u 48 + 13u = -30 + -6u + 6u Combine like terms: -6u + 6u = 0 48 + 13u = -30 + 0 48 + 13u = -30 Add '-48' to each side of the equation. 48 + -48 + 13u = -30 + -48 Combine like terms: 48 + -48 = 0 0 + 13u = -30 + -48 13u = -30 + -48 Combine like terms: -30 + -48 = -78 13u = -78 Divide each side by '13'. u = -6 Simplifying u = -6
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