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Simplifying 6u + -23 = 4(u + -3) + -5 Reorder the terms: -23 + 6u = 4(u + -3) + -5 Reorder the terms: -23 + 6u = 4(-3 + u) + -5 -23 + 6u = (-3 * 4 + u * 4) + -5 -23 + 6u = (-12 + 4u) + -5 Reorder the terms: -23 + 6u = -12 + -5 + 4u Combine like terms: -12 + -5 = -17 -23 + 6u = -17 + 4u Solving -23 + 6u = -17 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -23 + 6u + -4u = -17 + 4u + -4u Combine like terms: 6u + -4u = 2u -23 + 2u = -17 + 4u + -4u Combine like terms: 4u + -4u = 0 -23 + 2u = -17 + 0 -23 + 2u = -17 Add '23' to each side of the equation. -23 + 23 + 2u = -17 + 23 Combine like terms: -23 + 23 = 0 0 + 2u = -17 + 23 2u = -17 + 23 Combine like terms: -17 + 23 = 6 2u = 6 Divide each side by '2'. u = 3 Simplifying u = 3
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