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Simplifying 6(-5n + 7) = 12 Reorder the terms: 6(7 + -5n) = 12 (7 * 6 + -5n * 6) = 12 (42 + -30n) = 12 Solving 42 + -30n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -30n = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -30n = 12 + -42 -30n = 12 + -42 Combine like terms: 12 + -42 = -30 -30n = -30 Divide each side by '-30'. n = 1 Simplifying n = 1
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