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Simplifying 6u + 48 = 4(u + 7) Reorder the terms: 48 + 6u = 4(u + 7) Reorder the terms: 48 + 6u = 4(7 + u) 48 + 6u = (7 * 4 + u * 4) 48 + 6u = (28 + 4u) Solving 48 + 6u = 28 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 48 + 6u + -4u = 28 + 4u + -4u Combine like terms: 6u + -4u = 2u 48 + 2u = 28 + 4u + -4u Combine like terms: 4u + -4u = 0 48 + 2u = 28 + 0 48 + 2u = 28 Add '-48' to each side of the equation. 48 + -48 + 2u = 28 + -48 Combine like terms: 48 + -48 = 0 0 + 2u = 28 + -48 2u = 28 + -48 Combine like terms: 28 + -48 = -20 2u = -20 Divide each side by '2'. u = -10 Simplifying u = -10
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