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Simplifying 4(u + -2) = -5u + 19 Reorder the terms: 4(-2 + u) = -5u + 19 (-2 * 4 + u * 4) = -5u + 19 (-8 + 4u) = -5u + 19 Reorder the terms: -8 + 4u = 19 + -5u Solving -8 + 4u = 19 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -8 + 4u + 5u = 19 + -5u + 5u Combine like terms: 4u + 5u = 9u -8 + 9u = 19 + -5u + 5u Combine like terms: -5u + 5u = 0 -8 + 9u = 19 + 0 -8 + 9u = 19 Add '8' to each side of the equation. -8 + 8 + 9u = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 9u = 19 + 8 9u = 19 + 8 Combine like terms: 19 + 8 = 27 9u = 27 Divide each side by '9'. u = 3 Simplifying u = 3
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