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Simplifying 102 = -3(7n + -6) Reorder the terms: 102 = -3(-6 + 7n) 102 = (-6 * -3 + 7n * -3) 102 = (18 + -21n) Solving 102 = 18 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 102 + 21n = 18 + -21n + 21n Combine like terms: -21n + 21n = 0 102 + 21n = 18 + 0 102 + 21n = 18 Add '-102' to each side of the equation. 102 + -102 + 21n = 18 + -102 Combine like terms: 102 + -102 = 0 0 + 21n = 18 + -102 21n = 18 + -102 Combine like terms: 18 + -102 = -84 21n = -84 Divide each side by '21'. n = -4 Simplifying n = -4
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