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Simplifying 17n + -3(n + 1) = 193 Reorder the terms: 17n + -3(1 + n) = 193 17n + (1 * -3 + n * -3) = 193 17n + (-3 + -3n) = 193 Reorder the terms: -3 + 17n + -3n = 193 Combine like terms: 17n + -3n = 14n -3 + 14n = 193 Solving -3 + 14n = 193 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 14n = 193 + 3 Combine like terms: -3 + 3 = 0 0 + 14n = 193 + 3 14n = 193 + 3 Combine like terms: 193 + 3 = 196 14n = 196 Divide each side by '14'. n = 14 Simplifying n = 14
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