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Simplifying 5(-1n + -5) = 3n + 23 Reorder the terms: 5(-5 + -1n) = 3n + 23 (-5 * 5 + -1n * 5) = 3n + 23 (-25 + -5n) = 3n + 23 Reorder the terms: -25 + -5n = 23 + 3n Solving -25 + -5n = 23 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -25 + -5n + -3n = 23 + 3n + -3n Combine like terms: -5n + -3n = -8n -25 + -8n = 23 + 3n + -3n Combine like terms: 3n + -3n = 0 -25 + -8n = 23 + 0 -25 + -8n = 23 Add '25' to each side of the equation. -25 + 25 + -8n = 23 + 25 Combine like terms: -25 + 25 = 0 0 + -8n = 23 + 25 -8n = 23 + 25 Combine like terms: 23 + 25 = 48 -8n = 48 Divide each side by '-8'. n = -6 Simplifying n = -6
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