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Simplifying -2n + 5 = -2(-6 + -1n) + -1n Reorder the terms: 5 + -2n = -2(-6 + -1n) + -1n 5 + -2n = (-6 * -2 + -1n * -2) + -1n 5 + -2n = (12 + 2n) + -1n Combine like terms: 2n + -1n = 1n 5 + -2n = 12 + 1n Solving 5 + -2n = 12 + 1n 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. 5 + -2n + -1n = 12 + 1n + -1n Combine like terms: -2n + -1n = -3n 5 + -3n = 12 + 1n + -1n Combine like terms: 1n + -1n = 0 5 + -3n = 12 + 0 5 + -3n = 12 Add '-5' to each side of the equation. 5 + -5 + -3n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 12 + -5 -3n = 12 + -5 Combine like terms: 12 + -5 = 7 -3n = 7 Divide each side by '-3'. n = -2.333333333 Simplifying n = -2.333333333
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