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Simplifying -84 = -6(7n + 7) Reorder the terms: -84 = -6(7 + 7n) -84 = (7 * -6 + 7n * -6) -84 = (-42 + -42n) Solving -84 = -42 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -84 + 42n = -42 + -42n + 42n Combine like terms: -42n + 42n = 0 -84 + 42n = -42 + 0 -84 + 42n = -42 Add '84' to each side of the equation. -84 + 84 + 42n = -42 + 84 Combine like terms: -84 + 84 = 0 0 + 42n = -42 + 84 42n = -42 + 84 Combine like terms: -42 + 84 = 42 42n = 42 Divide each side by '42'. n = 1 Simplifying n = 1
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