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Simplifying 5 = 7 + (n + -1)(-3) Reorder the terms: 5 = 7 + (-1 + n)(-3) Reorder the terms for easier multiplication: 5 = 7 + -3(-1 + n) 5 = 7 + (-1 * -3 + n * -3) 5 = 7 + (3 + -3n) Combine like terms: 7 + 3 = 10 5 = 10 + -3n Solving 5 = 10 + -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. 5 + 3n = 10 + -3n + 3n Combine like terms: -3n + 3n = 0 5 + 3n = 10 + 0 5 + 3n = 10 Add '-5' to each side of the equation. 5 + -5 + 3n = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 10 + -5 3n = 10 + -5 Combine like terms: 10 + -5 = 5 3n = 5 Divide each side by '3'. n = 1.666666667 Simplifying n = 1.666666667
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