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Simplifying 5(n + -2) + -3(7 + -2n) = 2 Reorder the terms: 5(-2 + n) + -3(7 + -2n) = 2 (-2 * 5 + n * 5) + -3(7 + -2n) = 2 (-10 + 5n) + -3(7 + -2n) = 2 -10 + 5n + (7 * -3 + -2n * -3) = 2 -10 + 5n + (-21 + 6n) = 2 Reorder the terms: -10 + -21 + 5n + 6n = 2 Combine like terms: -10 + -21 = -31 -31 + 5n + 6n = 2 Combine like terms: 5n + 6n = 11n -31 + 11n = 2 Solving -31 + 11n = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 11n = 2 + 31 Combine like terms: -31 + 31 = 0 0 + 11n = 2 + 31 11n = 2 + 31 Combine like terms: 2 + 31 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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