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Simplifying 3(2n + -1) + 3n = 6n + 9 + -1n Reorder the terms: 3(-1 + 2n) + 3n = 6n + 9 + -1n (-1 * 3 + 2n * 3) + 3n = 6n + 9 + -1n (-3 + 6n) + 3n = 6n + 9 + -1n Combine like terms: 6n + 3n = 9n -3 + 9n = 6n + 9 + -1n Reorder the terms: -3 + 9n = 9 + 6n + -1n Combine like terms: 6n + -1n = 5n -3 + 9n = 9 + 5n Solving -3 + 9n = 9 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + 9n + -5n = 9 + 5n + -5n Combine like terms: 9n + -5n = 4n -3 + 4n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + 4n = 9 + 0 -3 + 4n = 9 Add '3' to each side of the equation. -3 + 3 + 4n = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 4n = 9 + 3 4n = 9 + 3 Combine like terms: 9 + 3 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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