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Simplifying -2(5 + 7n) = 102 (5 * -2 + 7n * -2) = 102 (-10 + -14n) = 102 Solving -10 + -14n = 102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -14n = 102 + 10 Combine like terms: -10 + 10 = 0 0 + -14n = 102 + 10 -14n = 102 + 10 Combine like terms: 102 + 10 = 112 -14n = 112 Divide each side by '-14'. n = -8 Simplifying n = -8
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