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