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Simplifying (n + -5) * 6 = 3n + -6 Reorder the terms: (-5 + n) * 6 = 3n + -6 Reorder the terms for easier multiplication: 6(-5 + n) = 3n + -6 (-5 * 6 + n * 6) = 3n + -6 (-30 + 6n) = 3n + -6 Reorder the terms: -30 + 6n = -6 + 3n Solving -30 + 6n = -6 + 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. -30 + 6n + -3n = -6 + 3n + -3n Combine like terms: 6n + -3n = 3n -30 + 3n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 -30 + 3n = -6 + 0 -30 + 3n = -6 Add '30' to each side of the equation. -30 + 30 + 3n = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 3n = -6 + 30 3n = -6 + 30 Combine like terms: -6 + 30 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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