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