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Simplifying -84 = -7(n + 5) Reorder the terms: -84 = -7(5 + n) -84 = (5 * -7 + n * -7) -84 = (-35 + -7n) Solving -84 = -35 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -84 + 7n = -35 + -7n + 7n Combine like terms: -7n + 7n = 0 -84 + 7n = -35 + 0 -84 + 7n = -35 Add '84' to each side of the equation. -84 + 84 + 7n = -35 + 84 Combine like terms: -84 + 84 = 0 0 + 7n = -35 + 84 7n = -35 + 84 Combine like terms: -35 + 84 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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