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Simplifying 8(u + -4) = 6u + -46 Reorder the terms: 8(-4 + u) = 6u + -46 (-4 * 8 + u * 8) = 6u + -46 (-32 + 8u) = 6u + -46 Reorder the terms: -32 + 8u = -46 + 6u Solving -32 + 8u = -46 + 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. -32 + 8u + -6u = -46 + 6u + -6u Combine like terms: 8u + -6u = 2u -32 + 2u = -46 + 6u + -6u Combine like terms: 6u + -6u = 0 -32 + 2u = -46 + 0 -32 + 2u = -46 Add '32' to each side of the equation. -32 + 32 + 2u = -46 + 32 Combine like terms: -32 + 32 = 0 0 + 2u = -46 + 32 2u = -46 + 32 Combine like terms: -46 + 32 = -14 2u = -14 Divide each side by '2'. u = -7 Simplifying u = -7
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