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Simplifying 7 + -3(n + -1) = 5n + 3 + -2n Reorder the terms: 7 + -3(-1 + n) = 5n + 3 + -2n 7 + (-1 * -3 + n * -3) = 5n + 3 + -2n 7 + (3 + -3n) = 5n + 3 + -2n Combine like terms: 7 + 3 = 10 10 + -3n = 5n + 3 + -2n Reorder the terms: 10 + -3n = 3 + 5n + -2n Combine like terms: 5n + -2n = 3n 10 + -3n = 3 + 3n Solving 10 + -3n = 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. 10 + -3n + -3n = 3 + 3n + -3n Combine like terms: -3n + -3n = -6n 10 + -6n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + -6n = 3 + 0 10 + -6n = 3 Add '-10' to each side of the equation. 10 + -10 + -6n = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -6n = 3 + -10 -6n = 3 + -10 Combine like terms: 3 + -10 = -7 -6n = -7 Divide each side by '-6'. n = 1.166666667 Simplifying n = 1.166666667
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