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Simplifying 4(2n + -2) = (6n + 8) + 2 Reorder the terms: 4(-2 + 2n) = (6n + 8) + 2 (-2 * 4 + 2n * 4) = (6n + 8) + 2 (-8 + 8n) = (6n + 8) + 2 Reorder the terms: -8 + 8n = (8 + 6n) + 2 Remove parenthesis around (8 + 6n) -8 + 8n = 8 + 6n + 2 Reorder the terms: -8 + 8n = 8 + 2 + 6n Combine like terms: 8 + 2 = 10 -8 + 8n = 10 + 6n Solving -8 + 8n = 10 + 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. -8 + 8n + -6n = 10 + 6n + -6n Combine like terms: 8n + -6n = 2n -8 + 2n = 10 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + 2n = 10 + 0 -8 + 2n = 10 Add '8' to each side of the equation. -8 + 8 + 2n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 10 + 8 2n = 10 + 8 Combine like terms: 10 + 8 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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