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Simplifying -5u + 6 = -12u + 62 Reorder the terms: 6 + -5u = -12u + 62 Reorder the terms: 6 + -5u = 62 + -12u Solving 6 + -5u = 62 + -12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '12u' to each side of the equation. 6 + -5u + 12u = 62 + -12u + 12u Combine like terms: -5u + 12u = 7u 6 + 7u = 62 + -12u + 12u Combine like terms: -12u + 12u = 0 6 + 7u = 62 + 0 6 + 7u = 62 Add '-6' to each side of the equation. 6 + -6 + 7u = 62 + -6 Combine like terms: 6 + -6 = 0 0 + 7u = 62 + -6 7u = 62 + -6 Combine like terms: 62 + -6 = 56 7u = 56 Divide each side by '7'. u = 8 Simplifying u = 8
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