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Simplifying 8(1 + -1n) = -8(-1 + 4n) (1 * 8 + -1n * 8) = -8(-1 + 4n) (8 + -8n) = -8(-1 + 4n) 8 + -8n = (-1 * -8 + 4n * -8) 8 + -8n = (8 + -32n) Add '-8' to each side of the equation. 8 + -8 + -8n = 8 + -8 + -32n Combine like terms: 8 + -8 = 0 0 + -8n = 8 + -8 + -32n -8n = 8 + -8 + -32n Combine like terms: 8 + -8 = 0 -8n = 0 + -32n -8n = -32n Solving -8n = -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -8n + 32n = -32n + 32n Combine like terms: -8n + 32n = 24n 24n = -32n + 32n Combine like terms: -32n + 32n = 0 24n = 0 Divide each side by '24'. n = 0 Simplifying n = 0
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