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Simplifying -2(4 + -6n) + -1n = -2(1 + -4n) (4 * -2 + -6n * -2) + -1n = -2(1 + -4n) (-8 + 12n) + -1n = -2(1 + -4n) Combine like terms: 12n + -1n = 11n -8 + 11n = -2(1 + -4n) -8 + 11n = (1 * -2 + -4n * -2) -8 + 11n = (-2 + 8n) Solving -8 + 11n = -2 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 11n + -8n = -2 + 8n + -8n Combine like terms: 11n + -8n = 3n -8 + 3n = -2 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 3n = -2 + 0 -8 + 3n = -2 Add '8' to each side of the equation. -8 + 8 + 3n = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = -2 + 8 3n = -2 + 8 Combine like terms: -2 + 8 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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