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Simplifying 3(2n + -4) + 2n = 2(3n + 4) + -6n + 4 Reorder the terms: 3(-4 + 2n) + 2n = 2(3n + 4) + -6n + 4 (-4 * 3 + 2n * 3) + 2n = 2(3n + 4) + -6n + 4 (-12 + 6n) + 2n = 2(3n + 4) + -6n + 4 Combine like terms: 6n + 2n = 8n -12 + 8n = 2(3n + 4) + -6n + 4 Reorder the terms: -12 + 8n = 2(4 + 3n) + -6n + 4 -12 + 8n = (4 * 2 + 3n * 2) + -6n + 4 -12 + 8n = (8 + 6n) + -6n + 4 Reorder the terms: -12 + 8n = 8 + 4 + 6n + -6n Combine like terms: 8 + 4 = 12 -12 + 8n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + 8n = 12 + 0 -12 + 8n = 12 Solving -12 + 8n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 8n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8n = 12 + 12 8n = 12 + 12 Combine like terms: 12 + 12 = 24 8n = 24 Divide each side by '8'. n = 3 Simplifying n = 3
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