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Simplifying -4u + -12 = 6u + -42 Reorder the terms: -12 + -4u = 6u + -42 Reorder the terms: -12 + -4u = -42 + 6u Solving -12 + -4u = -42 + 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. -12 + -4u + -6u = -42 + 6u + -6u Combine like terms: -4u + -6u = -10u -12 + -10u = -42 + 6u + -6u Combine like terms: 6u + -6u = 0 -12 + -10u = -42 + 0 -12 + -10u = -42 Add '12' to each side of the equation. -12 + 12 + -10u = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -10u = -42 + 12 -10u = -42 + 12 Combine like terms: -42 + 12 = -30 -10u = -30 Divide each side by '-10'. u = 3 Simplifying u = 3
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