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Simplifying 7n + 5 + -9n = 8n + -2n + -3 Reorder the terms: 5 + 7n + -9n = 8n + -2n + -3 Combine like terms: 7n + -9n = -2n 5 + -2n = 8n + -2n + -3 Reorder the terms: 5 + -2n = -3 + 8n + -2n Combine like terms: 8n + -2n = 6n 5 + -2n = -3 + 6n Solving 5 + -2n = -3 + 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. 5 + -2n + -6n = -3 + 6n + -6n Combine like terms: -2n + -6n = -8n 5 + -8n = -3 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + -8n = -3 + 0 5 + -8n = -3 Add '-5' to each side of the equation. 5 + -5 + -8n = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -8n = -3 + -5 -8n = -3 + -5 Combine like terms: -3 + -5 = -8 -8n = -8 Divide each side by '-8'. n = 1 Simplifying n = 1
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