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Simplifying -6 + 8n = 1 + -1(n + 2) Reorder the terms: -6 + 8n = 1 + -1(2 + n) -6 + 8n = 1 + (2 * -1 + n * -1) -6 + 8n = 1 + (-2 + -1n) Combine like terms: 1 + -2 = -1 -6 + 8n = -1 + -1n Solving -6 + 8n = -1 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -6 + 8n + n = -1 + -1n + n Combine like terms: 8n + n = 9n -6 + 9n = -1 + -1n + n Combine like terms: -1n + n = 0 -6 + 9n = -1 + 0 -6 + 9n = -1 Add '6' to each side of the equation. -6 + 6 + 9n = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 9n = -1 + 6 9n = -1 + 6 Combine like terms: -1 + 6 = 5 9n = 5 Divide each side by '9'. n = 0.5555555556 Simplifying n = 0.5555555556
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