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Simplifying 4(2u + -3) = 6u + 10 Reorder the terms: 4(-3 + 2u) = 6u + 10 (-3 * 4 + 2u * 4) = 6u + 10 (-12 + 8u) = 6u + 10 Reorder the terms: -12 + 8u = 10 + 6u Solving -12 + 8u = 10 + 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. -12 + 8u + -6u = 10 + 6u + -6u Combine like terms: 8u + -6u = 2u -12 + 2u = 10 + 6u + -6u Combine like terms: 6u + -6u = 0 -12 + 2u = 10 + 0 -12 + 2u = 10 Add '12' to each side of the equation. -12 + 12 + 2u = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2u = 10 + 12 2u = 10 + 12 Combine like terms: 10 + 12 = 22 2u = 22 Divide each side by '2'. u = 11 Simplifying u = 11
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