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Simplifying 8(2n + -4) = (8n + 8) + 1 Reorder the terms: 8(-4 + 2n) = (8n + 8) + 1 (-4 * 8 + 2n * 8) = (8n + 8) + 1 (-32 + 16n) = (8n + 8) + 1 Reorder the terms: -32 + 16n = (8 + 8n) + 1 Remove parenthesis around (8 + 8n) -32 + 16n = 8 + 8n + 1 Reorder the terms: -32 + 16n = 8 + 1 + 8n Combine like terms: 8 + 1 = 9 -32 + 16n = 9 + 8n Solving -32 + 16n = 9 + 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. -32 + 16n + -8n = 9 + 8n + -8n Combine like terms: 16n + -8n = 8n -32 + 8n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + 8n = 9 + 0 -32 + 8n = 9 Add '32' to each side of the equation. -32 + 32 + 8n = 9 + 32 Combine like terms: -32 + 32 = 0 0 + 8n = 9 + 32 8n = 9 + 32 Combine like terms: 9 + 32 = 41 8n = 41 Divide each side by '8'. n = 5.125 Simplifying n = 5.125
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