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Simplifying 3(n + -2) = 3n + -5n + 9 Reorder the terms: 3(-2 + n) = 3n + -5n + 9 (-2 * 3 + n * 3) = 3n + -5n + 9 (-6 + 3n) = 3n + -5n + 9 Reorder the terms: -6 + 3n = 9 + 3n + -5n Combine like terms: 3n + -5n = -2n -6 + 3n = 9 + -2n Solving -6 + 3n = 9 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -6 + 3n + 2n = 9 + -2n + 2n Combine like terms: 3n + 2n = 5n -6 + 5n = 9 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 5n = 9 + 0 -6 + 5n = 9 Add '6' to each side of the equation. -6 + 6 + 5n = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = 9 + 6 5n = 9 + 6 Combine like terms: 9 + 6 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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