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Simplifying 28 + 6n = -7(3 + 5n) + -8n 28 + 6n = (3 * -7 + 5n * -7) + -8n 28 + 6n = (-21 + -35n) + -8n Combine like terms: -35n + -8n = -43n 28 + 6n = -21 + -43n Solving 28 + 6n = -21 + -43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43n' to each side of the equation. 28 + 6n + 43n = -21 + -43n + 43n Combine like terms: 6n + 43n = 49n 28 + 49n = -21 + -43n + 43n Combine like terms: -43n + 43n = 0 28 + 49n = -21 + 0 28 + 49n = -21 Add '-28' to each side of the equation. 28 + -28 + 49n = -21 + -28 Combine like terms: 28 + -28 = 0 0 + 49n = -21 + -28 49n = -21 + -28 Combine like terms: -21 + -28 = -49 49n = -49 Divide each side by '49'. n = -1 Simplifying n = -1
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