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Simplifying 132 = 4(1 + 8n) 132 = (1 * 4 + 8n * 4) 132 = (4 + 32n) Solving 132 = 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. 132 + -32n = 4 + 32n + -32n Combine like terms: 32n + -32n = 0 132 + -32n = 4 + 0 132 + -32n = 4 Add '-132' to each side of the equation. 132 + -132 + -32n = 4 + -132 Combine like terms: 132 + -132 = 0 0 + -32n = 4 + -132 -32n = 4 + -132 Combine like terms: 4 + -132 = -128 -32n = -128 Divide each side by '-32'. n = 4 Simplifying n = 4
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