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Simplifying 3 + 2(7n + 8) = -37 + 6n Reorder the terms: 3 + 2(8 + 7n) = -37 + 6n 3 + (8 * 2 + 7n * 2) = -37 + 6n 3 + (16 + 14n) = -37 + 6n Combine like terms: 3 + 16 = 19 19 + 14n = -37 + 6n Solving 19 + 14n = -37 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 19 + 14n + -6n = -37 + 6n + -6n Combine like terms: 14n + -6n = 8n 19 + 8n = -37 + 6n + -6n Combine like terms: 6n + -6n = 0 19 + 8n = -37 + 0 19 + 8n = -37 Add '-19' to each side of the equation. 19 + -19 + 8n = -37 + -19 Combine like terms: 19 + -19 = 0 0 + 8n = -37 + -19 8n = -37 + -19 Combine like terms: -37 + -19 = -56 8n = -56 Divide each side by '8'. n = -7 Simplifying n = -7
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