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Simplifying -1(5 + -7n) = -2(1 + -4n) (5 * -1 + -7n * -1) = -2(1 + -4n) (-5 + 7n) = -2(1 + -4n) -5 + 7n = (1 * -2 + -4n * -2) -5 + 7n = (-2 + 8n) Solving -5 + 7n = -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. -5 + 7n + -8n = -2 + 8n + -8n Combine like terms: 7n + -8n = -1n -5 + -1n = -2 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + -1n = -2 + 0 -5 + -1n = -2 Add '5' to each side of the equation. -5 + 5 + -1n = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = -2 + 5 -1n = -2 + 5 Combine like terms: -2 + 5 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3
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