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Simplifying -5 + -8n = -5(n + 5) + 2 Reorder the terms: -5 + -8n = -5(5 + n) + 2 -5 + -8n = (5 * -5 + n * -5) + 2 -5 + -8n = (-25 + -5n) + 2 Reorder the terms: -5 + -8n = -25 + 2 + -5n Combine like terms: -25 + 2 = -23 -5 + -8n = -23 + -5n Solving -5 + -8n = -23 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -5 + -8n + 5n = -23 + -5n + 5n Combine like terms: -8n + 5n = -3n -5 + -3n = -23 + -5n + 5n Combine like terms: -5n + 5n = 0 -5 + -3n = -23 + 0 -5 + -3n = -23 Add '5' to each side of the equation. -5 + 5 + -3n = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = -23 + 5 -3n = -23 + 5 Combine like terms: -23 + 5 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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