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Simplifying 1 + -1(1 + 8n) = -7(n + 2) 1 + (1 * -1 + 8n * -1) = -7(n + 2) 1 + (-1 + -8n) = -7(n + 2) Combine like terms: 1 + -1 = 0 0 + -8n = -7(n + 2) -8n = -7(n + 2) Reorder the terms: -8n = -7(2 + n) -8n = (2 * -7 + n * -7) -8n = (-14 + -7n) Solving -8n = -14 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -8n + 7n = -14 + -7n + 7n Combine like terms: -8n + 7n = -1n -1n = -14 + -7n + 7n Combine like terms: -7n + 7n = 0 -1n = -14 + 0 -1n = -14 Divide each side by '-1'. n = 14 Simplifying n = 14
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