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Simplifying 8u + -36 = 6(u + -4) Reorder the terms: -36 + 8u = 6(u + -4) Reorder the terms: -36 + 8u = 6(-4 + u) -36 + 8u = (-4 * 6 + u * 6) -36 + 8u = (-24 + 6u) Solving -36 + 8u = -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. -36 + 8u + -6u = -24 + 6u + -6u Combine like terms: 8u + -6u = 2u -36 + 2u = -24 + 6u + -6u Combine like terms: 6u + -6u = 0 -36 + 2u = -24 + 0 -36 + 2u = -24 Add '36' to each side of the equation. -36 + 36 + 2u = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 2u = -24 + 36 2u = -24 + 36 Combine like terms: -24 + 36 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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