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Simplifying 4(8n + -8) = 18 + 7n Reorder the terms: 4(-8 + 8n) = 18 + 7n (-8 * 4 + 8n * 4) = 18 + 7n (-32 + 32n) = 18 + 7n Solving -32 + 32n = 18 + 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. -32 + 32n + -7n = 18 + 7n + -7n Combine like terms: 32n + -7n = 25n -32 + 25n = 18 + 7n + -7n Combine like terms: 7n + -7n = 0 -32 + 25n = 18 + 0 -32 + 25n = 18 Add '32' to each side of the equation. -32 + 32 + 25n = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 25n = 18 + 32 25n = 18 + 32 Combine like terms: 18 + 32 = 50 25n = 50 Divide each side by '25'. n = 2 Simplifying n = 2
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