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Simplifying -7n + -7(-2n + -5) = 31 + 8n Reorder the terms: -7n + -7(-5 + -2n) = 31 + 8n -7n + (-5 * -7 + -2n * -7) = 31 + 8n -7n + (35 + 14n) = 31 + 8n Reorder the terms: 35 + -7n + 14n = 31 + 8n Combine like terms: -7n + 14n = 7n 35 + 7n = 31 + 8n Solving 35 + 7n = 31 + 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. 35 + 7n + -8n = 31 + 8n + -8n Combine like terms: 7n + -8n = -1n 35 + -1n = 31 + 8n + -8n Combine like terms: 8n + -8n = 0 35 + -1n = 31 + 0 35 + -1n = 31 Add '-35' to each side of the equation. 35 + -35 + -1n = 31 + -35 Combine like terms: 35 + -35 = 0 0 + -1n = 31 + -35 -1n = 31 + -35 Combine like terms: 31 + -35 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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