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Simplifying 6u + -42 = -4(u + 3) Reorder the terms: -42 + 6u = -4(u + 3) Reorder the terms: -42 + 6u = -4(3 + u) -42 + 6u = (3 * -4 + u * -4) -42 + 6u = (-12 + -4u) Solving -42 + 6u = -12 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -42 + 6u + 4u = -12 + -4u + 4u Combine like terms: 6u + 4u = 10u -42 + 10u = -12 + -4u + 4u Combine like terms: -4u + 4u = 0 -42 + 10u = -12 + 0 -42 + 10u = -12 Add '42' to each side of the equation. -42 + 42 + 10u = -12 + 42 Combine like terms: -42 + 42 = 0 0 + 10u = -12 + 42 10u = -12 + 42 Combine like terms: -12 + 42 = 30 10u = 30 Divide each side by '10'. u = 3 Simplifying u = 3
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