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Simplifying 2 + -5n + n + -8 = 2(1 + -5n) + -1(8 + 4n) Reorder the terms: 2 + -8 + -5n + n = 2(1 + -5n) + -1(8 + 4n) Combine like terms: 2 + -8 = -6 -6 + -5n + n = 2(1 + -5n) + -1(8 + 4n) Combine like terms: -5n + n = -4n -6 + -4n = 2(1 + -5n) + -1(8 + 4n) -6 + -4n = (1 * 2 + -5n * 2) + -1(8 + 4n) -6 + -4n = (2 + -10n) + -1(8 + 4n) -6 + -4n = 2 + -10n + (8 * -1 + 4n * -1) -6 + -4n = 2 + -10n + (-8 + -4n) Reorder the terms: -6 + -4n = 2 + -8 + -10n + -4n Combine like terms: 2 + -8 = -6 -6 + -4n = -6 + -10n + -4n Combine like terms: -10n + -4n = -14n -6 + -4n = -6 + -14n Add '6' to each side of the equation. -6 + 6 + -4n = -6 + 6 + -14n Combine like terms: -6 + 6 = 0 0 + -4n = -6 + 6 + -14n -4n = -6 + 6 + -14n Combine like terms: -6 + 6 = 0 -4n = 0 + -14n -4n = -14n Solving -4n = -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -4n + 14n = -14n + 14n Combine like terms: -4n + 14n = 10n 10n = -14n + 14n Combine like terms: -14n + 14n = 0 10n = 0 Divide each side by '10'. n = 0.0 Simplifying n = 0.0
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