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Simplifying 17(7n + -14) = 30 + -3n Reorder the terms: 17(-14 + 7n) = 30 + -3n (-14 * 17 + 7n * 17) = 30 + -3n (-238 + 119n) = 30 + -3n Solving -238 + 119n = 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. -238 + 119n + 3n = 30 + -3n + 3n Combine like terms: 119n + 3n = 122n -238 + 122n = 30 + -3n + 3n Combine like terms: -3n + 3n = 0 -238 + 122n = 30 + 0 -238 + 122n = 30 Add '238' to each side of the equation. -238 + 238 + 122n = 30 + 238 Combine like terms: -238 + 238 = 0 0 + 122n = 30 + 238 122n = 30 + 238 Combine like terms: 30 + 238 = 268 122n = 268 Divide each side by '122'. n = 2.196721311 Simplifying n = 2.196721311
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