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Simplifying -5n + 5 = 7(8 + -8n) Reorder the terms: 5 + -5n = 7(8 + -8n) 5 + -5n = (8 * 7 + -8n * 7) 5 + -5n = (56 + -56n) Solving 5 + -5n = 56 + -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. 5 + -5n + 56n = 56 + -56n + 56n Combine like terms: -5n + 56n = 51n 5 + 51n = 56 + -56n + 56n Combine like terms: -56n + 56n = 0 5 + 51n = 56 + 0 5 + 51n = 56 Add '-5' to each side of the equation. 5 + -5 + 51n = 56 + -5 Combine like terms: 5 + -5 = 0 0 + 51n = 56 + -5 51n = 56 + -5 Combine like terms: 56 + -5 = 51 51n = 51 Divide each side by '51'. n = 1 Simplifying n = 1
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