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Simplifying -4u + 10 = -6(u + -4) Reorder the terms: 10 + -4u = -6(u + -4) Reorder the terms: 10 + -4u = -6(-4 + u) 10 + -4u = (-4 * -6 + u * -6) 10 + -4u = (24 + -6u) Solving 10 + -4u = 24 + -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. 10 + -4u + 6u = 24 + -6u + 6u Combine like terms: -4u + 6u = 2u 10 + 2u = 24 + -6u + 6u Combine like terms: -6u + 6u = 0 10 + 2u = 24 + 0 10 + 2u = 24 Add '-10' to each side of the equation. 10 + -10 + 2u = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2u = 24 + -10 2u = 24 + -10 Combine like terms: 24 + -10 = 14 2u = 14 Divide each side by '2'. u = 7 Simplifying u = 7
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