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Simplifying 1 + -1n = 5(8 + -8n) 1 + -1n = (8 * 5 + -8n * 5) 1 + -1n = (40 + -40n) Solving 1 + -1n = 40 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 1 + -1n + 40n = 40 + -40n + 40n Combine like terms: -1n + 40n = 39n 1 + 39n = 40 + -40n + 40n Combine like terms: -40n + 40n = 0 1 + 39n = 40 + 0 1 + 39n = 40 Add '-1' to each side of the equation. 1 + -1 + 39n = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 39n = 40 + -1 39n = 40 + -1 Combine like terms: 40 + -1 = 39 39n = 39 Divide each side by '39'. n = 1 Simplifying n = 1
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