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Simplifying 7(7n + -14) = 30 + -3n Reorder the terms: 7(-14 + 7n) = 30 + -3n (-14 * 7 + 7n * 7) = 30 + -3n (-98 + 49n) = 30 + -3n Solving -98 + 49n = 30 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -98 + 49n + 3n = 30 + -3n + 3n Combine like terms: 49n + 3n = 52n -98 + 52n = 30 + -3n + 3n Combine like terms: -3n + 3n = 0 -98 + 52n = 30 + 0 -98 + 52n = 30 Add '98' to each side of the equation. -98 + 98 + 52n = 30 + 98 Combine like terms: -98 + 98 = 0 0 + 52n = 30 + 98 52n = 30 + 98 Combine like terms: 30 + 98 = 128 52n = 128 Divide each side by '52'. n = 2.461538462 Simplifying n = 2.461538462
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