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Simplifying 164 = 4(1 + 8n) 164 = (1 * 4 + 8n * 4) 164 = (4 + 32n) Solving 164 = 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. 164 + -32n = 4 + 32n + -32n Combine like terms: 32n + -32n = 0 164 + -32n = 4 + 0 164 + -32n = 4 Add '-164' to each side of the equation. 164 + -164 + -32n = 4 + -164 Combine like terms: 164 + -164 = 0 0 + -32n = 4 + -164 -32n = 4 + -164 Combine like terms: 4 + -164 = -160 -32n = -160 Divide each side by '-32'. n = 5 Simplifying n = 5
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