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Simplifying 7 + 5(n + -2) = 3(n + 1) Reorder the terms: 7 + 5(-2 + n) = 3(n + 1) 7 + (-2 * 5 + n * 5) = 3(n + 1) 7 + (-10 + 5n) = 3(n + 1) Combine like terms: 7 + -10 = -3 -3 + 5n = 3(n + 1) Reorder the terms: -3 + 5n = 3(1 + n) -3 + 5n = (1 * 3 + n * 3) -3 + 5n = (3 + 3n) Solving -3 + 5n = 3 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -3 + 5n + -3n = 3 + 3n + -3n Combine like terms: 5n + -3n = 2n -3 + 2n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 -3 + 2n = 3 + 0 -3 + 2n = 3 Add '3' to each side of the equation. -3 + 3 + 2n = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 3 + 3 2n = 3 + 3 Combine like terms: 3 + 3 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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