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Simplifying 2(1 + -1n) + 4 = -2(1 + -3n) (1 * 2 + -1n * 2) + 4 = -2(1 + -3n) (2 + -2n) + 4 = -2(1 + -3n) Reorder the terms: 2 + 4 + -2n = -2(1 + -3n) Combine like terms: 2 + 4 = 6 6 + -2n = -2(1 + -3n) 6 + -2n = (1 * -2 + -3n * -2) 6 + -2n = (-2 + 6n) Solving 6 + -2n = -2 + 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. 6 + -2n + -6n = -2 + 6n + -6n Combine like terms: -2n + -6n = -8n 6 + -8n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 6 + -8n = -2 + 0 6 + -8n = -2 Add '-6' to each side of the equation. 6 + -6 + -8n = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -8n = -2 + -6 -8n = -2 + -6 Combine like terms: -2 + -6 = -8 -8n = -8 Divide each side by '-8'. n = 1 Simplifying n = 1
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