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Simplifying 8n + 7 + -3n = 6n + 19 + -4n Reorder the terms: 7 + 8n + -3n = 6n + 19 + -4n Combine like terms: 8n + -3n = 5n 7 + 5n = 6n + 19 + -4n Reorder the terms: 7 + 5n = 19 + 6n + -4n Combine like terms: 6n + -4n = 2n 7 + 5n = 19 + 2n Solving 7 + 5n = 19 + 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. 7 + 5n + -2n = 19 + 2n + -2n Combine like terms: 5n + -2n = 3n 7 + 3n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + 3n = 19 + 0 7 + 3n = 19 Add '-7' to each side of the equation. 7 + -7 + 3n = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = 19 + -7 3n = 19 + -7 Combine like terms: 19 + -7 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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