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Simplifying -84 = -7(-8 + -7n) + 7 -84 = (-8 * -7 + -7n * -7) + 7 -84 = (56 + 49n) + 7 Reorder the terms: -84 = 56 + 7 + 49n Combine like terms: 56 + 7 = 63 -84 = 63 + 49n Solving -84 = 63 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. -84 + -49n = 63 + 49n + -49n Combine like terms: 49n + -49n = 0 -84 + -49n = 63 + 0 -84 + -49n = 63 Add '84' to each side of the equation. -84 + 84 + -49n = 63 + 84 Combine like terms: -84 + 84 = 0 0 + -49n = 63 + 84 -49n = 63 + 84 Combine like terms: 63 + 84 = 147 -49n = 147 Divide each side by '-49'. n = -3 Simplifying n = -3
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