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Simplifying -8n + 28 = 4(1 + -8n) Reorder the terms: 28 + -8n = 4(1 + -8n) 28 + -8n = (1 * 4 + -8n * 4) 28 + -8n = (4 + -32n) Solving 28 + -8n = 4 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. 28 + -8n + 32n = 4 + -32n + 32n Combine like terms: -8n + 32n = 24n 28 + 24n = 4 + -32n + 32n Combine like terms: -32n + 32n = 0 28 + 24n = 4 + 0 28 + 24n = 4 Add '-28' to each side of the equation. 28 + -28 + 24n = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 24n = 4 + -28 24n = 4 + -28 Combine like terms: 4 + -28 = -24 24n = -24 Divide each side by '24'. n = -1 Simplifying n = -1
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