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Simplifying 7n + 15 = 42 + -2n Reorder the terms: 15 + 7n = 42 + -2n Solving 15 + 7n = 42 + -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. 15 + 7n + 2n = 42 + -2n + 2n Combine like terms: 7n + 2n = 9n 15 + 9n = 42 + -2n + 2n Combine like terms: -2n + 2n = 0 15 + 9n = 42 + 0 15 + 9n = 42 Add '-15' to each side of the equation. 15 + -15 + 9n = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 9n = 42 + -15 9n = 42 + -15 Combine like terms: 42 + -15 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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