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Simplifying 4 + -1n + -7 + 8n = -8 + 11 + 5n + -2 Reorder the terms: 4 + -7 + -1n + 8n = -8 + 11 + 5n + -2 Combine like terms: 4 + -7 = -3 -3 + -1n + 8n = -8 + 11 + 5n + -2 Combine like terms: -1n + 8n = 7n -3 + 7n = -8 + 11 + 5n + -2 Reorder the terms: -3 + 7n = -8 + 11 + -2 + 5n Combine like terms: -8 + 11 = 3 -3 + 7n = 3 + -2 + 5n Combine like terms: 3 + -2 = 1 -3 + 7n = 1 + 5n Solving -3 + 7n = 1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + 7n + -5n = 1 + 5n + -5n Combine like terms: 7n + -5n = 2n -3 + 2n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + 2n = 1 + 0 -3 + 2n = 1 Add '3' to each side of the equation. -3 + 3 + 2n = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 1 + 3 2n = 1 + 3 Combine like terms: 1 + 3 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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