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