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Simplifying 2(3n + -1) + -4(3 + -2n) = 14 Reorder the terms: 2(-1 + 3n) + -4(3 + -2n) = 14 (-1 * 2 + 3n * 2) + -4(3 + -2n) = 14 (-2 + 6n) + -4(3 + -2n) = 14 -2 + 6n + (3 * -4 + -2n * -4) = 14 -2 + 6n + (-12 + 8n) = 14 Reorder the terms: -2 + -12 + 6n + 8n = 14 Combine like terms: -2 + -12 = -14 -14 + 6n + 8n = 14 Combine like terms: 6n + 8n = 14n -14 + 14n = 14 Solving -14 + 14n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 14n = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 14n = 14 + 14 14n = 14 + 14 Combine like terms: 14 + 14 = 28 14n = 28 Divide each side by '14'. n = 2 Simplifying n = 2
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