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Simplifying 5n + 2(3n + -7) + -2 = 0 Reorder the terms: 5n + 2(-7 + 3n) + -2 = 0 5n + (-7 * 2 + 3n * 2) + -2 = 0 5n + (-14 + 6n) + -2 = 0 Reorder the terms: -14 + -2 + 5n + 6n = 0 Combine like terms: -14 + -2 = -16 -16 + 5n + 6n = 0 Combine like terms: 5n + 6n = 11n -16 + 11n = 0 Solving -16 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 11n = 0 + 16 11n = 0 + 16 Combine like terms: 0 + 16 = 16 11n = 16 Divide each side by '11'. n = 1.454545455 Simplifying n = 1.454545455
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