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