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Simplifying -8(n + 8) = 1 + -7n Reorder the terms: -8(8 + n) = 1 + -7n (8 * -8 + n * -8) = 1 + -7n (-64 + -8n) = 1 + -7n Solving -64 + -8n = 1 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -64 + -8n + 7n = 1 + -7n + 7n Combine like terms: -8n + 7n = -1n -64 + -1n = 1 + -7n + 7n Combine like terms: -7n + 7n = 0 -64 + -1n = 1 + 0 -64 + -1n = 1 Add '64' to each side of the equation. -64 + 64 + -1n = 1 + 64 Combine like terms: -64 + 64 = 0 0 + -1n = 1 + 64 -1n = 1 + 64 Combine like terms: 1 + 64 = 65 -1n = 65 Divide each side by '-1'. n = -65 Simplifying n = -65
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