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Simplifying -84 = 6(n + -7) Reorder the terms: -84 = 6(-7 + n) -84 = (-7 * 6 + n * 6) -84 = (-42 + 6n) Solving -84 = -42 + 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 = -42 + 6n + -6n Combine like terms: 6n + -6n = 0 -84 + -6n = -42 + 0 -84 + -6n = -42 Add '84' to each side of the equation. -84 + 84 + -6n = -42 + 84 Combine like terms: -84 + 84 = 0 0 + -6n = -42 + 84 -6n = -42 + 84 Combine like terms: -42 + 84 = 42 -6n = 42 Divide each side by '-6'. n = -7 Simplifying n = -7
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