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Simplifying 2(-3n + 4) = 2n Reorder the terms: 2(4 + -3n) = 2n (4 * 2 + -3n * 2) = 2n (8 + -6n) = 2n Solving 8 + -6n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + -6n + -2n = 2n + -2n Combine like terms: -6n + -2n = -8n 8 + -8n = 2n + -2n Combine like terms: 2n + -2n = 0 8 + -8n = 0 Add '-8' to each side of the equation. 8 + -8 + -8n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8n = 0 + -8 -8n = 0 + -8 Combine like terms: 0 + -8 = -8 -8n = -8 Divide each side by '-8'. n = 1 Simplifying n = 1
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