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Simplifying 6(-4n + 7) = -12 + 3n Reorder the terms: 6(7 + -4n) = -12 + 3n (7 * 6 + -4n * 6) = -12 + 3n (42 + -24n) = -12 + 3n Solving 42 + -24n = -12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 42 + -24n + -3n = -12 + 3n + -3n Combine like terms: -24n + -3n = -27n 42 + -27n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 42 + -27n = -12 + 0 42 + -27n = -12 Add '-42' to each side of the equation. 42 + -42 + -27n = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -27n = -12 + -42 -27n = -12 + -42 Combine like terms: -12 + -42 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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