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Simplifying 3(n + -4) = 9n + 6 Reorder the terms: 3(-4 + n) = 9n + 6 (-4 * 3 + n * 3) = 9n + 6 (-12 + 3n) = 9n + 6 Reorder the terms: -12 + 3n = 6 + 9n Solving -12 + 3n = 6 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -12 + 3n + -9n = 6 + 9n + -9n Combine like terms: 3n + -9n = -6n -12 + -6n = 6 + 9n + -9n Combine like terms: 9n + -9n = 0 -12 + -6n = 6 + 0 -12 + -6n = 6 Add '12' to each side of the equation. -12 + 12 + -6n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -6n = 6 + 12 -6n = 6 + 12 Combine like terms: 6 + 12 = 18 -6n = 18 Divide each side by '-6'. n = -3 Simplifying n = -3
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