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Simplifying 12 + -3(n + -5) = 5n + -3 Reorder the terms: 12 + -3(-5 + n) = 5n + -3 12 + (-5 * -3 + n * -3) = 5n + -3 12 + (15 + -3n) = 5n + -3 Combine like terms: 12 + 15 = 27 27 + -3n = 5n + -3 Reorder the terms: 27 + -3n = -3 + 5n Solving 27 + -3n = -3 + 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. 27 + -3n + -5n = -3 + 5n + -5n Combine like terms: -3n + -5n = -8n 27 + -8n = -3 + 5n + -5n Combine like terms: 5n + -5n = 0 27 + -8n = -3 + 0 27 + -8n = -3 Add '-27' to each side of the equation. 27 + -27 + -8n = -3 + -27 Combine like terms: 27 + -27 = 0 0 + -8n = -3 + -27 -8n = -3 + -27 Combine like terms: -3 + -27 = -30 -8n = -30 Divide each side by '-8'. n = 3.75 Simplifying n = 3.75
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