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