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Simplifying -4(u + 3) = 2u + -42 Reorder the terms: -4(3 + u) = 2u + -42 (3 * -4 + u * -4) = 2u + -42 (-12 + -4u) = 2u + -42 Reorder the terms: -12 + -4u = -42 + 2u Solving -12 + -4u = -42 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -12 + -4u + -2u = -42 + 2u + -2u Combine like terms: -4u + -2u = -6u -12 + -6u = -42 + 2u + -2u Combine like terms: 2u + -2u = 0 -12 + -6u = -42 + 0 -12 + -6u = -42 Add '12' to each side of the equation. -12 + 12 + -6u = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -6u = -42 + 12 -6u = -42 + 12 Combine like terms: -42 + 12 = -30 -6u = -30 Divide each side by '-6'. u = 5 Simplifying u = 5
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