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Simplifying 6(u + -5) = 8u + -48 Reorder the terms: 6(-5 + u) = 8u + -48 (-5 * 6 + u * 6) = 8u + -48 (-30 + 6u) = 8u + -48 Reorder the terms: -30 + 6u = -48 + 8u Solving -30 + 6u = -48 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -30 + 6u + -8u = -48 + 8u + -8u Combine like terms: 6u + -8u = -2u -30 + -2u = -48 + 8u + -8u Combine like terms: 8u + -8u = 0 -30 + -2u = -48 + 0 -30 + -2u = -48 Add '30' to each side of the equation. -30 + 30 + -2u = -48 + 30 Combine like terms: -30 + 30 = 0 0 + -2u = -48 + 30 -2u = -48 + 30 Combine like terms: -48 + 30 = -18 -2u = -18 Divide each side by '-2'. u = 9 Simplifying u = 9
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