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Simplifying 2 + -14n = 5(-3n + 2) Reorder the terms: 2 + -14n = 5(2 + -3n) 2 + -14n = (2 * 5 + -3n * 5) 2 + -14n = (10 + -15n) Solving 2 + -14n = 10 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 2 + -14n + 15n = 10 + -15n + 15n Combine like terms: -14n + 15n = 1n 2 + 1n = 10 + -15n + 15n Combine like terms: -15n + 15n = 0 2 + 1n = 10 + 0 2 + 1n = 10 Add '-2' to each side of the equation. 2 + -2 + 1n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1n = 10 + -2 1n = 10 + -2 Combine like terms: 10 + -2 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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