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Simplifying 418 = -7(4 + 8n) + -2 418 = (4 * -7 + 8n * -7) + -2 418 = (-28 + -56n) + -2 Reorder the terms: 418 = -28 + -2 + -56n Combine like terms: -28 + -2 = -30 418 = -30 + -56n Solving 418 = -30 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 418 + 56n = -30 + -56n + 56n Combine like terms: -56n + 56n = 0 418 + 56n = -30 + 0 418 + 56n = -30 Add '-418' to each side of the equation. 418 + -418 + 56n = -30 + -418 Combine like terms: 418 + -418 = 0 0 + 56n = -30 + -418 56n = -30 + -418 Combine like terms: -30 + -418 = -448 56n = -448 Divide each side by '56'. n = -8 Simplifying n = -8
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