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Simplifying 4(2n + -4) = (2n + 6) + 7 Reorder the terms: 4(-4 + 2n) = (2n + 6) + 7 (-4 * 4 + 2n * 4) = (2n + 6) + 7 (-16 + 8n) = (2n + 6) + 7 Reorder the terms: -16 + 8n = (6 + 2n) + 7 Remove parenthesis around (6 + 2n) -16 + 8n = 6 + 2n + 7 Reorder the terms: -16 + 8n = 6 + 7 + 2n Combine like terms: 6 + 7 = 13 -16 + 8n = 13 + 2n Solving -16 + 8n = 13 + 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. -16 + 8n + -2n = 13 + 2n + -2n Combine like terms: 8n + -2n = 6n -16 + 6n = 13 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + 6n = 13 + 0 -16 + 6n = 13 Add '16' to each side of the equation. -16 + 16 + 6n = 13 + 16 Combine like terms: -16 + 16 = 0 0 + 6n = 13 + 16 6n = 13 + 16 Combine like terms: 13 + 16 = 29 6n = 29 Divide each side by '6'. n = 4.833333333 Simplifying n = 4.833333333
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