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Simplifying 2(n + -8) + -1(-2n + -1) = 3n Reorder the terms: 2(-8 + n) + -1(-2n + -1) = 3n (-8 * 2 + n * 2) + -1(-2n + -1) = 3n (-16 + 2n) + -1(-2n + -1) = 3n Reorder the terms: -16 + 2n + -1(-1 + -2n) = 3n -16 + 2n + (-1 * -1 + -2n * -1) = 3n -16 + 2n + (1 + 2n) = 3n Reorder the terms: -16 + 1 + 2n + 2n = 3n Combine like terms: -16 + 1 = -15 -15 + 2n + 2n = 3n Combine like terms: 2n + 2n = 4n -15 + 4n = 3n Solving -15 + 4n = 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. -15 + 4n + -3n = 3n + -3n Combine like terms: 4n + -3n = 1n -15 + 1n = 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 1n = 0 Add '15' to each side of the equation. -15 + 15 + 1n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1n = 0 + 15 1n = 0 + 15 Combine like terms: 0 + 15 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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