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Simplifying 8(u + -6) = 2u + -24 Reorder the terms: 8(-6 + u) = 2u + -24 (-6 * 8 + u * 8) = 2u + -24 (-48 + 8u) = 2u + -24 Reorder the terms: -48 + 8u = -24 + 2u Solving -48 + 8u = -24 + 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 + 8u + -2u = -24 + 2u + -2u Combine like terms: 8u + -2u = 6u -48 + 6u = -24 + 2u + -2u Combine like terms: 2u + -2u = 0 -48 + 6u = -24 + 0 -48 + 6u = -24 Add '48' to each side of the equation. -48 + 48 + 6u = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 6u = -24 + 48 6u = -24 + 48 Combine like terms: -24 + 48 = 24 6u = 24 Divide each side by '6'. u = 4 Simplifying u = 4
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