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Simplifying -1 + 8n = -8(1 + 4n) + 7 -1 + 8n = (1 * -8 + 4n * -8) + 7 -1 + 8n = (-8 + -32n) + 7 Reorder the terms: -1 + 8n = -8 + 7 + -32n Combine like terms: -8 + 7 = -1 -1 + 8n = -1 + -32n Add '1' to each side of the equation. -1 + 1 + 8n = -1 + 1 + -32n Combine like terms: -1 + 1 = 0 0 + 8n = -1 + 1 + -32n 8n = -1 + 1 + -32n Combine like terms: -1 + 1 = 0 8n = 0 + -32n 8n = -32n Solving 8n = -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. 8n + 32n = -32n + 32n Combine like terms: 8n + 32n = 40n 40n = -32n + 32n Combine like terms: -32n + 32n = 0 40n = 0 Divide each side by '40'. n = 0.0 Simplifying n = 0.0
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