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Simplifying -8(u + 6) = 6u + -6 Reorder the terms: -8(6 + u) = 6u + -6 (6 * -8 + u * -8) = 6u + -6 (-48 + -8u) = 6u + -6 Reorder the terms: -48 + -8u = -6 + 6u Solving -48 + -8u = -6 + 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 + -8u + -6u = -6 + 6u + -6u Combine like terms: -8u + -6u = -14u -48 + -14u = -6 + 6u + -6u Combine like terms: 6u + -6u = 0 -48 + -14u = -6 + 0 -48 + -14u = -6 Add '48' to each side of the equation. -48 + 48 + -14u = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -14u = -6 + 48 -14u = -6 + 48 Combine like terms: -6 + 48 = 42 -14u = 42 Divide each side by '-14'. u = -3 Simplifying u = -3
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