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Simplifying 8 + -2n + -7 = 8n + -5 + -7n Reorder the terms: 8 + -7 + -2n = 8n + -5 + -7n Combine like terms: 8 + -7 = 1 1 + -2n = 8n + -5 + -7n Reorder the terms: 1 + -2n = -5 + 8n + -7n Combine like terms: 8n + -7n = 1n 1 + -2n = -5 + 1n Solving 1 + -2n = -5 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 1 + -2n + -1n = -5 + 1n + -1n Combine like terms: -2n + -1n = -3n 1 + -3n = -5 + 1n + -1n Combine like terms: 1n + -1n = 0 1 + -3n = -5 + 0 1 + -3n = -5 Add '-1' to each side of the equation. 1 + -1 + -3n = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -5 + -1 -3n = -5 + -1 Combine like terms: -5 + -1 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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