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Simplifying 3n + -6 = 6 + -3(n + -4) Reorder the terms: -6 + 3n = 6 + -3(n + -4) Reorder the terms: -6 + 3n = 6 + -3(-4 + n) -6 + 3n = 6 + (-4 * -3 + n * -3) -6 + 3n = 6 + (12 + -3n) Combine like terms: 6 + 12 = 18 -6 + 3n = 18 + -3n Solving -6 + 3n = 18 + -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. -6 + 3n + 3n = 18 + -3n + 3n Combine like terms: 3n + 3n = 6n -6 + 6n = 18 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 + 6n = 18 + 0 -6 + 6n = 18 Add '6' to each side of the equation. -6 + 6 + 6n = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 18 + 6 6n = 18 + 6 Combine like terms: 18 + 6 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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