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Simplifying -3(n + 1) + 3n = 12 + -5n Reorder the terms: -3(1 + n) + 3n = 12 + -5n (1 * -3 + n * -3) + 3n = 12 + -5n (-3 + -3n) + 3n = 12 + -5n Combine like terms: -3n + 3n = 0 -3 + 0 = 12 + -5n -3 = 12 + -5n Solving -3 = 12 + -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. -3 + 5n = 12 + -5n + 5n Combine like terms: -5n + 5n = 0 -3 + 5n = 12 + 0 -3 + 5n = 12 Add '3' to each side of the equation. -3 + 3 + 5n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = 12 + 3 5n = 12 + 3 Combine like terms: 12 + 3 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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