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Simplifying 4(2n + -1) = (6n + 6) + 2 Reorder the terms: 4(-1 + 2n) = (6n + 6) + 2 (-1 * 4 + 2n * 4) = (6n + 6) + 2 (-4 + 8n) = (6n + 6) + 2 Reorder the terms: -4 + 8n = (6 + 6n) + 2 Remove parenthesis around (6 + 6n) -4 + 8n = 6 + 6n + 2 Reorder the terms: -4 + 8n = 6 + 2 + 6n Combine like terms: 6 + 2 = 8 -4 + 8n = 8 + 6n Solving -4 + 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. -4 + 8n + -6n = 8 + 6n + -6n Combine like terms: 8n + -6n = 2n -4 + 2n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 -4 + 2n = 8 + 0 -4 + 2n = 8 Add '4' to each side of the equation. -4 + 4 + 2n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = 8 + 4 2n = 8 + 4 Combine like terms: 8 + 4 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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