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Simplifying 5[n + (-2)] = 91 + (n + -1) 5[n + -2] = 91 + (n + -1) Reorder the terms: 5[-2 + n] = 91 + (n + -1) [-2 * 5 + n * 5] = 91 + (n + -1) [-10 + 5n] = 91 + (n + -1) Reorder the terms: -10 + 5n = 91 + (-1 + n) Remove parenthesis around (-1 + n) -10 + 5n = 91 + -1 + n Combine like terms: 91 + -1 = 90 -10 + 5n = 90 + n Solving -10 + 5n = 90 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -10 + 5n + -1n = 90 + n + -1n Combine like terms: 5n + -1n = 4n -10 + 4n = 90 + n + -1n Combine like terms: n + -1n = 0 -10 + 4n = 90 + 0 -10 + 4n = 90 Add '10' to each side of the equation. -10 + 10 + 4n = 90 + 10 Combine like terms: -10 + 10 = 0 0 + 4n = 90 + 10 4n = 90 + 10 Combine like terms: 90 + 10 = 100 4n = 100 Divide each side by '4'. n = 25 Simplifying n = 25
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