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Simplifying -6(u + 8) = 6u + 24 Reorder the terms: -6(8 + u) = 6u + 24 (8 * -6 + u * -6) = 6u + 24 (-48 + -6u) = 6u + 24 Reorder the terms: -48 + -6u = 24 + 6u Solving -48 + -6u = 24 + 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 + -6u + -6u = 24 + 6u + -6u Combine like terms: -6u + -6u = -12u -48 + -12u = 24 + 6u + -6u Combine like terms: 6u + -6u = 0 -48 + -12u = 24 + 0 -48 + -12u = 24 Add '48' to each side of the equation. -48 + 48 + -12u = 24 + 48 Combine like terms: -48 + 48 = 0 0 + -12u = 24 + 48 -12u = 24 + 48 Combine like terms: 24 + 48 = 72 -12u = 72 Divide each side by '-12'. u = -6 Simplifying u = -6
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