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Simplifying 5n + 2(n + -7) = 6n + 10 Reorder the terms: 5n + 2(-7 + n) = 6n + 10 5n + (-7 * 2 + n * 2) = 6n + 10 5n + (-14 + 2n) = 6n + 10 Reorder the terms: -14 + 5n + 2n = 6n + 10 Combine like terms: 5n + 2n = 7n -14 + 7n = 6n + 10 Reorder the terms: -14 + 7n = 10 + 6n Solving -14 + 7n = 10 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + 7n + -6n = 10 + 6n + -6n Combine like terms: 7n + -6n = 1n -14 + 1n = 10 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + 1n = 10 + 0 -14 + 1n = 10 Add '14' to each side of the equation. -14 + 14 + 1n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 1n = 10 + 14 1n = 10 + 14 Combine like terms: 10 + 14 = 24 1n = 24 Divide each side by '1'. n = 24 Simplifying n = 24
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