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Simplifying 2 + 5(4n + -7) = -193 Reorder the terms: 2 + 5(-7 + 4n) = -193 2 + (-7 * 5 + 4n * 5) = -193 2 + (-35 + 20n) = -193 Combine like terms: 2 + -35 = -33 -33 + 20n = -193 Solving -33 + 20n = -193 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 20n = -193 + 33 Combine like terms: -33 + 33 = 0 0 + 20n = -193 + 33 20n = -193 + 33 Combine like terms: -193 + 33 = -160 20n = -160 Divide each side by '20'. n = -8 Simplifying n = -8
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