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Simplifying 7(7 + 7n) + 8 = n + 9 (7 * 7 + 7n * 7) + 8 = n + 9 (49 + 49n) + 8 = n + 9 Reorder the terms: 49 + 8 + 49n = n + 9 Combine like terms: 49 + 8 = 57 57 + 49n = n + 9 Reorder the terms: 57 + 49n = 9 + n Solving 57 + 49n = 9 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 57 + 49n + -1n = 9 + n + -1n Combine like terms: 49n + -1n = 48n 57 + 48n = 9 + n + -1n Combine like terms: n + -1n = 0 57 + 48n = 9 + 0 57 + 48n = 9 Add '-57' to each side of the equation. 57 + -57 + 48n = 9 + -57 Combine like terms: 57 + -57 = 0 0 + 48n = 9 + -57 48n = 9 + -57 Combine like terms: 9 + -57 = -48 48n = -48 Divide each side by '48'. n = -1 Simplifying n = -1
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