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Simplifying 4(n + -5) * 2(5 + -4) = 48 Reorder the terms: 4(-5 + n) * 2(5 + -4) = 48 Combine like terms: 5 + -4 = 1 4(-5 + n) * 2(1) = 48 Reorder the terms for easier multiplication: 4 * 2 * 1(-5 + n) = 48 Multiply 4 * 2 8 * 1(-5 + n) = 48 Multiply 8 * 1 8(-5 + n) = 48 (-5 * 8 + n * 8) = 48 (-40 + 8n) = 48 Solving -40 + 8n = 48 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 8n = 48 + 40 Combine like terms: -40 + 40 = 0 0 + 8n = 48 + 40 8n = 48 + 40 Combine like terms: 48 + 40 = 88 8n = 88 Divide each side by '8'. n = 11 Simplifying n = 11
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