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Simplifying 4x + 6n + 5 + -3x + 2n + 4 = 0 Reorder the terms: 5 + 4 + 6n + 2n + 4x + -3x = 0 Combine like terms: 5 + 4 = 9 9 + 6n + 2n + 4x + -3x = 0 Combine like terms: 6n + 2n = 8n 9 + 8n + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 9 + 8n + 1x = 0 Solving 9 + 8n + 1x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 8n + -9 + 1x = 0 + -9 Reorder the terms: 9 + -9 + 8n + 1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8n + 1x = 0 + -9 8n + 1x = 0 + -9 Combine like terms: 0 + -9 = -9 8n + 1x = -9 Add '-1x' to each side of the equation. 8n + 1x + -1x = -9 + -1x Combine like terms: 1x + -1x = 0 8n + 0 = -9 + -1x 8n = -9 + -1x Divide each side by '8'. n = -1.125 + -0.125x Simplifying n = -1.125 + -0.125x
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