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Simplifying 4n = 40 + 7(-2n + 2) Reorder the terms: 4n = 40 + 7(2 + -2n) 4n = 40 + (2 * 7 + -2n * 7) 4n = 40 + (14 + -14n) Combine like terms: 40 + 14 = 54 4n = 54 + -14n Solving 4n = 54 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 4n + 14n = 54 + -14n + 14n Combine like terms: 4n + 14n = 18n 18n = 54 + -14n + 14n Combine like terms: -14n + 14n = 0 18n = 54 + 0 18n = 54 Divide each side by '18'. n = 3 Simplifying n = 3
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