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Simplifying 2(1 + 8n) + -7 = -37 + 8n (1 * 2 + 8n * 2) + -7 = -37 + 8n (2 + 16n) + -7 = -37 + 8n Reorder the terms: 2 + -7 + 16n = -37 + 8n Combine like terms: 2 + -7 = -5 -5 + 16n = -37 + 8n Solving -5 + 16n = -37 + 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. -5 + 16n + -8n = -37 + 8n + -8n Combine like terms: 16n + -8n = 8n -5 + 8n = -37 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + 8n = -37 + 0 -5 + 8n = -37 Add '5' to each side of the equation. -5 + 5 + 8n = -37 + 5 Combine like terms: -5 + 5 = 0 0 + 8n = -37 + 5 8n = -37 + 5 Combine like terms: -37 + 5 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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