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Simplifying 7n + -9 = 5(n + 3) Reorder the terms: -9 + 7n = 5(n + 3) Reorder the terms: -9 + 7n = 5(3 + n) -9 + 7n = (3 * 5 + n * 5) -9 + 7n = (15 + 5n) Solving -9 + 7n = 15 + 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. -9 + 7n + -5n = 15 + 5n + -5n Combine like terms: 7n + -5n = 2n -9 + 2n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 -9 + 2n = 15 + 0 -9 + 2n = 15 Add '9' to each side of the equation. -9 + 9 + 2n = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 15 + 9 2n = 15 + 9 Combine like terms: 15 + 9 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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