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Simplifying 9n + -3 = 7(n + 3) + -1n Reorder the terms: -3 + 9n = 7(n + 3) + -1n Reorder the terms: -3 + 9n = 7(3 + n) + -1n -3 + 9n = (3 * 7 + n * 7) + -1n -3 + 9n = (21 + 7n) + -1n Combine like terms: 7n + -1n = 6n -3 + 9n = 21 + 6n Solving -3 + 9n = 21 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -3 + 9n + -6n = 21 + 6n + -6n Combine like terms: 9n + -6n = 3n -3 + 3n = 21 + 6n + -6n Combine like terms: 6n + -6n = 0 -3 + 3n = 21 + 0 -3 + 3n = 21 Add '3' to each side of the equation. -3 + 3 + 3n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 3n = 21 + 3 3n = 21 + 3 Combine like terms: 21 + 3 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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