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Simplifying 2(3n + -5) = 4x + 12 Reorder the terms: 2(-5 + 3n) = 4x + 12 (-5 * 2 + 3n * 2) = 4x + 12 (-10 + 6n) = 4x + 12 Reorder the terms: -10 + 6n = 12 + 4x Solving -10 + 6n = 12 + 4x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6n = 12 + 10 + 4x Combine like terms: -10 + 10 = 0 0 + 6n = 12 + 10 + 4x 6n = 12 + 10 + 4x Combine like terms: 12 + 10 = 22 6n = 22 + 4x Divide each side by '6'. n = 3.666666667 + 0.6666666667x Simplifying n = 3.666666667 + 0.6666666667x
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