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Simplifying 6(u + -1) = 4u + 3 + -3(-2u + -3) Reorder the terms: 6(-1 + u) = 4u + 3 + -3(-2u + -3) (-1 * 6 + u * 6) = 4u + 3 + -3(-2u + -3) (-6 + 6u) = 4u + 3 + -3(-2u + -3) Reorder the terms: -6 + 6u = 4u + 3 + -3(-3 + -2u) -6 + 6u = 4u + 3 + (-3 * -3 + -2u * -3) -6 + 6u = 4u + 3 + (9 + 6u) Reorder the terms: -6 + 6u = 3 + 9 + 4u + 6u Combine like terms: 3 + 9 = 12 -6 + 6u = 12 + 4u + 6u Combine like terms: 4u + 6u = 10u -6 + 6u = 12 + 10u Solving -6 + 6u = 12 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -6 + 6u + -10u = 12 + 10u + -10u Combine like terms: 6u + -10u = -4u -6 + -4u = 12 + 10u + -10u Combine like terms: 10u + -10u = 0 -6 + -4u = 12 + 0 -6 + -4u = 12 Add '6' to each side of the equation. -6 + 6 + -4u = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -4u = 12 + 6 -4u = 12 + 6 Combine like terms: 12 + 6 = 18 -4u = 18 Divide each side by '-4'. u = -4.5 Simplifying u = -4.5
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