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Simplifying -102 = 3(-7n + 1) Reorder the terms: -102 = 3(1 + -7n) -102 = (1 * 3 + -7n * 3) -102 = (3 + -21n) Solving -102 = 3 + -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 = 3 + -21n + 21n Combine like terms: -21n + 21n = 0 -102 + 21n = 3 + 0 -102 + 21n = 3 Add '102' to each side of the equation. -102 + 102 + 21n = 3 + 102 Combine like terms: -102 + 102 = 0 0 + 21n = 3 + 102 21n = 3 + 102 Combine like terms: 3 + 102 = 105 21n = 105 Divide each side by '21'. n = 5 Simplifying n = 5
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