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Simplifying 84 = -7(5n + -2) Reorder the terms: 84 = -7(-2 + 5n) 84 = (-2 * -7 + 5n * -7) 84 = (14 + -35n) Solving 84 = 14 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 84 + 35n = 14 + -35n + 35n Combine like terms: -35n + 35n = 0 84 + 35n = 14 + 0 84 + 35n = 14 Add '-84' to each side of the equation. 84 + -84 + 35n = 14 + -84 Combine like terms: 84 + -84 = 0 0 + 35n = 14 + -84 35n = 14 + -84 Combine like terms: 14 + -84 = -70 35n = -70 Divide each side by '35'. n = -2 Simplifying n = -2
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