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Simplifying 2(5n + -7) = 9n + 2 Reorder the terms: 2(-7 + 5n) = 9n + 2 (-7 * 2 + 5n * 2) = 9n + 2 (-14 + 10n) = 9n + 2 Reorder the terms: -14 + 10n = 2 + 9n Solving -14 + 10n = 2 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -14 + 10n + -9n = 2 + 9n + -9n Combine like terms: 10n + -9n = 1n -14 + 1n = 2 + 9n + -9n Combine like terms: 9n + -9n = 0 -14 + 1n = 2 + 0 -14 + 1n = 2 Add '14' to each side of the equation. -14 + 14 + 1n = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 2 + 14 1n = 2 + 14 Combine like terms: 2 + 14 = 16 1n = 16 Divide each side by '1'. n = 16 Simplifying n = 16
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