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Simplifying -84 = 6(n + -6) Reorder the terms: -84 = 6(-6 + n) -84 = (-6 * 6 + n * 6) -84 = (-36 + 6n) Solving -84 = -36 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -84 + -6n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 -84 + -6n = -36 + 0 -84 + -6n = -36 Add '84' to each side of the equation. -84 + 84 + -6n = -36 + 84 Combine like terms: -84 + 84 = 0 0 + -6n = -36 + 84 -6n = -36 + 84 Combine like terms: -36 + 84 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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