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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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