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Simplifying 4(u + -3) = -5u + 42 Reorder the terms: 4(-3 + u) = -5u + 42 (-3 * 4 + u * 4) = -5u + 42 (-12 + 4u) = -5u + 42 Reorder the terms: -12 + 4u = 42 + -5u Solving -12 + 4u = 42 + -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. -12 + 4u + 5u = 42 + -5u + 5u Combine like terms: 4u + 5u = 9u -12 + 9u = 42 + -5u + 5u Combine like terms: -5u + 5u = 0 -12 + 9u = 42 + 0 -12 + 9u = 42 Add '12' to each side of the equation. -12 + 12 + 9u = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 9u = 42 + 12 9u = 42 + 12 Combine like terms: 42 + 12 = 54 9u = 54 Divide each side by '9'. u = 6 Simplifying u = 6
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