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Simplifying 84 = -1 + -5(n + 1) Reorder the terms: 84 = -1 + -5(1 + n) 84 = -1 + (1 * -5 + n * -5) 84 = -1 + (-5 + -5n) Combine like terms: -1 + -5 = -6 84 = -6 + -5n Solving 84 = -6 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 84 + 5n = -6 + -5n + 5n Combine like terms: -5n + 5n = 0 84 + 5n = -6 + 0 84 + 5n = -6 Add '-84' to each side of the equation. 84 + -84 + 5n = -6 + -84 Combine like terms: 84 + -84 = 0 0 + 5n = -6 + -84 5n = -6 + -84 Combine like terms: -6 + -84 = -90 5n = -90 Divide each side by '5'. n = -18 Simplifying n = -18
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