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Simplifying 1 + -3n = 6n + 8(7 + -8n) 1 + -3n = 6n + (7 * 8 + -8n * 8) 1 + -3n = 6n + (56 + -64n) Reorder the terms: 1 + -3n = 56 + 6n + -64n Combine like terms: 6n + -64n = -58n 1 + -3n = 56 + -58n Solving 1 + -3n = 56 + -58n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '58n' to each side of the equation. 1 + -3n + 58n = 56 + -58n + 58n Combine like terms: -3n + 58n = 55n 1 + 55n = 56 + -58n + 58n Combine like terms: -58n + 58n = 0 1 + 55n = 56 + 0 1 + 55n = 56 Add '-1' to each side of the equation. 1 + -1 + 55n = 56 + -1 Combine like terms: 1 + -1 = 0 0 + 55n = 56 + -1 55n = 56 + -1 Combine like terms: 56 + -1 = 55 55n = 55 Divide each side by '55'. n = 1 Simplifying n = 1
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