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Simplifying 7(8n + 8) + -1(5 + 6n) = 1 + 2n + 1 + -1n Reorder the terms: 7(8 + 8n) + -1(5 + 6n) = 1 + 2n + 1 + -1n (8 * 7 + 8n * 7) + -1(5 + 6n) = 1 + 2n + 1 + -1n (56 + 56n) + -1(5 + 6n) = 1 + 2n + 1 + -1n 56 + 56n + (5 * -1 + 6n * -1) = 1 + 2n + 1 + -1n 56 + 56n + (-5 + -6n) = 1 + 2n + 1 + -1n Reorder the terms: 56 + -5 + 56n + -6n = 1 + 2n + 1 + -1n Combine like terms: 56 + -5 = 51 51 + 56n + -6n = 1 + 2n + 1 + -1n Combine like terms: 56n + -6n = 50n 51 + 50n = 1 + 2n + 1 + -1n Reorder the terms: 51 + 50n = 1 + 1 + 2n + -1n Combine like terms: 1 + 1 = 2 51 + 50n = 2 + 2n + -1n Combine like terms: 2n + -1n = 1n 51 + 50n = 2 + 1n Solving 51 + 50n = 2 + 1n 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. 51 + 50n + -1n = 2 + 1n + -1n Combine like terms: 50n + -1n = 49n 51 + 49n = 2 + 1n + -1n Combine like terms: 1n + -1n = 0 51 + 49n = 2 + 0 51 + 49n = 2 Add '-51' to each side of the equation. 51 + -51 + 49n = 2 + -51 Combine like terms: 51 + -51 = 0 0 + 49n = 2 + -51 49n = 2 + -51 Combine like terms: 2 + -51 = -49 49n = -49 Divide each side by '49'. n = -1 Simplifying n = -1
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