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Simplifying -4(-6 + -5n) + -3(7n + 6) = 3 (-6 * -4 + -5n * -4) + -3(7n + 6) = 3 (24 + 20n) + -3(7n + 6) = 3 Reorder the terms: 24 + 20n + -3(6 + 7n) = 3 24 + 20n + (6 * -3 + 7n * -3) = 3 24 + 20n + (-18 + -21n) = 3 Reorder the terms: 24 + -18 + 20n + -21n = 3 Combine like terms: 24 + -18 = 6 6 + 20n + -21n = 3 Combine like terms: 20n + -21n = -1n 6 + -1n = 3 Solving 6 + -1n = 3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1n = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 3 + -6 -1n = 3 + -6 Combine like terms: 3 + -6 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3
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