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Simplifying 15 + -3n + -19 = 8n + 11 + -6n Reorder the terms: 15 + -19 + -3n = 8n + 11 + -6n Combine like terms: 15 + -19 = -4 -4 + -3n = 8n + 11 + -6n Reorder the terms: -4 + -3n = 11 + 8n + -6n Combine like terms: 8n + -6n = 2n -4 + -3n = 11 + 2n Solving -4 + -3n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -4 + -3n + -2n = 11 + 2n + -2n Combine like terms: -3n + -2n = -5n -4 + -5n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + -5n = 11 + 0 -4 + -5n = 11 Add '4' to each side of the equation. -4 + 4 + -5n = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -5n = 11 + 4 -5n = 11 + 4 Combine like terms: 11 + 4 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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