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Simplifying 23 + -5n = -3(3 + -1n) 23 + -5n = (3 * -3 + -1n * -3) 23 + -5n = (-9 + 3n) Solving 23 + -5n = -9 + 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. 23 + -5n + -3n = -9 + 3n + -3n Combine like terms: -5n + -3n = -8n 23 + -8n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 23 + -8n = -9 + 0 23 + -8n = -9 Add '-23' to each side of the equation. 23 + -23 + -8n = -9 + -23 Combine like terms: 23 + -23 = 0 0 + -8n = -9 + -23 -8n = -9 + -23 Combine like terms: -9 + -23 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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