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Simplifying 4(2n + -4) = (6n + 6) + 2 Reorder the terms: 4(-4 + 2n) = (6n + 6) + 2 (-4 * 4 + 2n * 4) = (6n + 6) + 2 (-16 + 8n) = (6n + 6) + 2 Reorder the terms: -16 + 8n = (6 + 6n) + 2 Remove parenthesis around (6 + 6n) -16 + 8n = 6 + 6n + 2 Reorder the terms: -16 + 8n = 6 + 2 + 6n Combine like terms: 6 + 2 = 8 -16 + 8n = 8 + 6n Solving -16 + 8n = 8 + 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. -16 + 8n + -6n = 8 + 6n + -6n Combine like terms: 8n + -6n = 2n -16 + 2n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + 2n = 8 + 0 -16 + 2n = 8 Add '16' to each side of the equation. -16 + 16 + 2n = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 2n = 8 + 16 2n = 8 + 16 Combine like terms: 8 + 16 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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