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Simplifying 2(8n + -7) = 2 + (3 + 8n) Reorder the terms: 2(-7 + 8n) = 2 + (3 + 8n) (-7 * 2 + 8n * 2) = 2 + (3 + 8n) (-14 + 16n) = 2 + (3 + 8n) Remove parenthesis around (3 + 8n) -14 + 16n = 2 + 3 + 8n Combine like terms: 2 + 3 = 5 -14 + 16n = 5 + 8n Solving -14 + 16n = 5 + 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. -14 + 16n + -8n = 5 + 8n + -8n Combine like terms: 16n + -8n = 8n -14 + 8n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + 8n = 5 + 0 -14 + 8n = 5 Add '14' to each side of the equation. -14 + 14 + 8n = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 8n = 5 + 14 8n = 5 + 14 Combine like terms: 5 + 14 = 19 8n = 19 Divide each side by '8'. n = 2.375 Simplifying n = 2.375
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