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Simplifying 2(3n + -4) + 7n + -12 = 14 Reorder the terms: 2(-4 + 3n) + 7n + -12 = 14 (-4 * 2 + 3n * 2) + 7n + -12 = 14 (-8 + 6n) + 7n + -12 = 14 Reorder the terms: -8 + -12 + 6n + 7n = 14 Combine like terms: -8 + -12 = -20 -20 + 6n + 7n = 14 Combine like terms: 6n + 7n = 13n -20 + 13n = 14 Solving -20 + 13n = 14 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 13n = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 13n = 14 + 20 13n = 14 + 20 Combine like terms: 14 + 20 = 34 13n = 34 Divide each side by '13'. n = 2.615384615 Simplifying n = 2.615384615
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