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Simplifying -7 + 4(1 + 6n) = 32 -7 + (1 * 4 + 6n * 4) = 32 -7 + (4 + 24n) = 32 Combine like terms: -7 + 4 = -3 -3 + 24n = 32 Solving -3 + 24n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 24n = 32 + 3 Combine like terms: -3 + 3 = 0 0 + 24n = 32 + 3 24n = 32 + 3 Combine like terms: 32 + 3 = 35 24n = 35 Divide each side by '24'. n = 1.458333333 Simplifying n = 1.458333333
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