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Simplifying 7 + 8n + 6n + -6 = 6n + -8 + -7 Reorder the terms: 7 + -6 + 8n + 6n = 6n + -8 + -7 Combine like terms: 7 + -6 = 1 1 + 8n + 6n = 6n + -8 + -7 Combine like terms: 8n + 6n = 14n 1 + 14n = 6n + -8 + -7 Reorder the terms: 1 + 14n = -8 + -7 + 6n Combine like terms: -8 + -7 = -15 1 + 14n = -15 + 6n Solving 1 + 14n = -15 + 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. 1 + 14n + -6n = -15 + 6n + -6n Combine like terms: 14n + -6n = 8n 1 + 8n = -15 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + 8n = -15 + 0 1 + 8n = -15 Add '-1' to each side of the equation. 1 + -1 + 8n = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = -15 + -1 8n = -15 + -1 Combine like terms: -15 + -1 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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