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Simplifying 3 + -6(7n + -4) = -309 Reorder the terms: 3 + -6(-4 + 7n) = -309 3 + (-4 * -6 + 7n * -6) = -309 3 + (24 + -42n) = -309 Combine like terms: 3 + 24 = 27 27 + -42n = -309 Solving 27 + -42n = -309 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -42n = -309 + -27 Combine like terms: 27 + -27 = 0 0 + -42n = -309 + -27 -42n = -309 + -27 Combine like terms: -309 + -27 = -336 -42n = -336 Divide each side by '-42'. n = 8 Simplifying n = 8
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