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Simplifying 3n + 3(1 + -1n) = n + -6 3n + (1 * 3 + -1n * 3) = n + -6 3n + (3 + -3n) = n + -6 Reorder the terms: 3 + 3n + -3n = n + -6 Combine like terms: 3n + -3n = 0 3 + 0 = n + -6 3 = n + -6 Reorder the terms: 3 = -6 + n Solving 3 = -6 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 3 + -1n = -6 + n + -1n Combine like terms: n + -1n = 0 3 + -1n = -6 + 0 3 + -1n = -6 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 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9
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