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Simplifying 13 + -8n = -7(6n + 3) Reorder the terms: 13 + -8n = -7(3 + 6n) 13 + -8n = (3 * -7 + 6n * -7) 13 + -8n = (-21 + -42n) Solving 13 + -8n = -21 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 13 + -8n + 42n = -21 + -42n + 42n Combine like terms: -8n + 42n = 34n 13 + 34n = -21 + -42n + 42n Combine like terms: -42n + 42n = 0 13 + 34n = -21 + 0 13 + 34n = -21 Add '-13' to each side of the equation. 13 + -13 + 34n = -21 + -13 Combine like terms: 13 + -13 = 0 0 + 34n = -21 + -13 34n = -21 + -13 Combine like terms: -21 + -13 = -34 34n = -34 Divide each side by '34'. n = -1 Simplifying n = -1
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