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Simplifying 7(2n + -4) = (8n + 1) + 1 Reorder the terms: 7(-4 + 2n) = (8n + 1) + 1 (-4 * 7 + 2n * 7) = (8n + 1) + 1 (-28 + 14n) = (8n + 1) + 1 Reorder the terms: -28 + 14n = (1 + 8n) + 1 Remove parenthesis around (1 + 8n) -28 + 14n = 1 + 8n + 1 Reorder the terms: -28 + 14n = 1 + 1 + 8n Combine like terms: 1 + 1 = 2 -28 + 14n = 2 + 8n Solving -28 + 14n = 2 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -28 + 14n + -8n = 2 + 8n + -8n Combine like terms: 14n + -8n = 6n -28 + 6n = 2 + 8n + -8n Combine like terms: 8n + -8n = 0 -28 + 6n = 2 + 0 -28 + 6n = 2 Add '28' to each side of the equation. -28 + 28 + 6n = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 6n = 2 + 28 6n = 2 + 28 Combine like terms: 2 + 28 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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