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Simplifying 4(6n + 3) = 3(7n + -6) Reorder the terms: 4(3 + 6n) = 3(7n + -6) (3 * 4 + 6n * 4) = 3(7n + -6) (12 + 24n) = 3(7n + -6) Reorder the terms: 12 + 24n = 3(-6 + 7n) 12 + 24n = (-6 * 3 + 7n * 3) 12 + 24n = (-18 + 21n) Solving 12 + 24n = -18 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 12 + 24n + -21n = -18 + 21n + -21n Combine like terms: 24n + -21n = 3n 12 + 3n = -18 + 21n + -21n Combine like terms: 21n + -21n = 0 12 + 3n = -18 + 0 12 + 3n = -18 Add '-12' to each side of the equation. 12 + -12 + 3n = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = -18 + -12 3n = -18 + -12 Combine like terms: -18 + -12 = -30 3n = -30 Divide each side by '3'. n = -10 Simplifying n = -10
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