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Simplifying 8(2n + 7) + -1n = -14 + 8n Reorder the terms: 8(7 + 2n) + -1n = -14 + 8n (7 * 8 + 2n * 8) + -1n = -14 + 8n (56 + 16n) + -1n = -14 + 8n Combine like terms: 16n + -1n = 15n 56 + 15n = -14 + 8n Solving 56 + 15n = -14 + 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. 56 + 15n + -8n = -14 + 8n + -8n Combine like terms: 15n + -8n = 7n 56 + 7n = -14 + 8n + -8n Combine like terms: 8n + -8n = 0 56 + 7n = -14 + 0 56 + 7n = -14 Add '-56' to each side of the equation. 56 + -56 + 7n = -14 + -56 Combine like terms: 56 + -56 = 0 0 + 7n = -14 + -56 7n = -14 + -56 Combine like terms: -14 + -56 = -70 7n = -70 Divide each side by '7'. n = -10 Simplifying n = -10
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