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Simplifying -84 = 7(n + -7) Reorder the terms: -84 = 7(-7 + n) -84 = (-7 * 7 + n * 7) -84 = (-49 + 7n) Solving -84 = -49 + 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 = -49 + 7n + -7n Combine like terms: 7n + -7n = 0 -84 + -7n = -49 + 0 -84 + -7n = -49 Add '84' to each side of the equation. -84 + 84 + -7n = -49 + 84 Combine like terms: -84 + 84 = 0 0 + -7n = -49 + 84 -7n = -49 + 84 Combine like terms: -49 + 84 = 35 -7n = 35 Divide each side by '-7'. n = -5 Simplifying n = -5
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