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Simplifying 2(3n + -7) = 5n Reorder the terms: 2(-7 + 3n) = 5n (-7 * 2 + 3n * 2) = 5n (-14 + 6n) = 5n Solving -14 + 6n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -14 + 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n -14 + 1n = 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 1n = 0 Add '14' to each side of the equation. -14 + 14 + 1n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 0 + 14 1n = 0 + 14 Combine like terms: 0 + 14 = 14 1n = 14 Divide each side by '1'. n = 14 Simplifying n = 14
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