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Simplifying -1n + 13 = -6(7n + 6) + -8n Reorder the terms: 13 + -1n = -6(7n + 6) + -8n Reorder the terms: 13 + -1n = -6(6 + 7n) + -8n 13 + -1n = (6 * -6 + 7n * -6) + -8n 13 + -1n = (-36 + -42n) + -8n Combine like terms: -42n + -8n = -50n 13 + -1n = -36 + -50n Solving 13 + -1n = -36 + -50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '50n' to each side of the equation. 13 + -1n + 50n = -36 + -50n + 50n Combine like terms: -1n + 50n = 49n 13 + 49n = -36 + -50n + 50n Combine like terms: -50n + 50n = 0 13 + 49n = -36 + 0 13 + 49n = -36 Add '-13' to each side of the equation. 13 + -13 + 49n = -36 + -13 Combine like terms: 13 + -13 = 0 0 + 49n = -36 + -13 49n = -36 + -13 Combine like terms: -36 + -13 = -49 49n = -49 Divide each side by '49'. n = -1 Simplifying n = -1
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