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Simplifying 5u + -48 = -2(u + 3) Reorder the terms: -48 + 5u = -2(u + 3) Reorder the terms: -48 + 5u = -2(3 + u) -48 + 5u = (3 * -2 + u * -2) -48 + 5u = (-6 + -2u) Solving -48 + 5u = -6 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -48 + 5u + 2u = -6 + -2u + 2u Combine like terms: 5u + 2u = 7u -48 + 7u = -6 + -2u + 2u Combine like terms: -2u + 2u = 0 -48 + 7u = -6 + 0 -48 + 7u = -6 Add '48' to each side of the equation. -48 + 48 + 7u = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 7u = -6 + 48 7u = -6 + 48 Combine like terms: -6 + 48 = 42 7u = 42 Divide each side by '7'. u = 6 Simplifying u = 6
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