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Simplifying 6(u + -8) = 8u + -42 Reorder the terms: 6(-8 + u) = 8u + -42 (-8 * 6 + u * 6) = 8u + -42 (-48 + 6u) = 8u + -42 Reorder the terms: -48 + 6u = -42 + 8u Solving -48 + 6u = -42 + 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. -48 + 6u + -8u = -42 + 8u + -8u Combine like terms: 6u + -8u = -2u -48 + -2u = -42 + 8u + -8u Combine like terms: 8u + -8u = 0 -48 + -2u = -42 + 0 -48 + -2u = -42 Add '48' to each side of the equation. -48 + 48 + -2u = -42 + 48 Combine like terms: -48 + 48 = 0 0 + -2u = -42 + 48 -2u = -42 + 48 Combine like terms: -42 + 48 = 6 -2u = 6 Divide each side by '-2'. u = -3 Simplifying u = -3
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