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Simplifying 12u + -36 = 13u + -42 Reorder the terms: -36 + 12u = 13u + -42 Reorder the terms: -36 + 12u = -42 + 13u Solving -36 + 12u = -42 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -36 + 12u + -13u = -42 + 13u + -13u Combine like terms: 12u + -13u = -1u -36 + -1u = -42 + 13u + -13u Combine like terms: 13u + -13u = 0 -36 + -1u = -42 + 0 -36 + -1u = -42 Add '36' to each side of the equation. -36 + 36 + -1u = -42 + 36 Combine like terms: -36 + 36 = 0 0 + -1u = -42 + 36 -1u = -42 + 36 Combine like terms: -42 + 36 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6
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