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Simplifying 14n + -10 = 6n + -13 Reorder the terms: -10 + 14n = 6n + -13 Reorder the terms: -10 + 14n = -13 + 6n Solving -10 + 14n = -13 + 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. -10 + 14n + -6n = -13 + 6n + -6n Combine like terms: 14n + -6n = 8n -10 + 8n = -13 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + 8n = -13 + 0 -10 + 8n = -13 Add '10' to each side of the equation. -10 + 10 + 8n = -13 + 10 Combine like terms: -10 + 10 = 0 0 + 8n = -13 + 10 8n = -13 + 10 Combine like terms: -13 + 10 = -3 8n = -3 Divide each side by '8'. n = -0.375 Simplifying n = -0.375
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