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Simplifying -3(4u + -3) = -19 + -10u + 6 Reorder the terms: -3(-3 + 4u) = -19 + -10u + 6 (-3 * -3 + 4u * -3) = -19 + -10u + 6 (9 + -12u) = -19 + -10u + 6 Reorder the terms: 9 + -12u = -19 + 6 + -10u Combine like terms: -19 + 6 = -13 9 + -12u = -13 + -10u Solving 9 + -12u = -13 + -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. 9 + -12u + 10u = -13 + -10u + 10u Combine like terms: -12u + 10u = -2u 9 + -2u = -13 + -10u + 10u Combine like terms: -10u + 10u = 0 9 + -2u = -13 + 0 9 + -2u = -13 Add '-9' to each side of the equation. 9 + -9 + -2u = -13 + -9 Combine like terms: 9 + -9 = 0 0 + -2u = -13 + -9 -2u = -13 + -9 Combine like terms: -13 + -9 = -22 -2u = -22 Divide each side by '-2'. u = 11 Simplifying u = 11
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