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Simplifying -84 = -3(7n + -7) Reorder the terms: -84 = -3(-7 + 7n) -84 = (-7 * -3 + 7n * -3) -84 = (21 + -21n) Solving -84 = 21 + -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. -84 + 21n = 21 + -21n + 21n Combine like terms: -21n + 21n = 0 -84 + 21n = 21 + 0 -84 + 21n = 21 Add '84' to each side of the equation. -84 + 84 + 21n = 21 + 84 Combine like terms: -84 + 84 = 0 0 + 21n = 21 + 84 21n = 21 + 84 Combine like terms: 21 + 84 = 105 21n = 105 Divide each side by '21'. n = 5 Simplifying n = 5
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