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Simplifying 4(3z + 1) = 100 Reorder the terms: 4(1 + 3z) = 100 (1 * 4 + 3z * 4) = 100 (4 + 12z) = 100 Solving 4 + 12z = 100 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12z = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 12z = 100 + -4 12z = 100 + -4 Combine like terms: 100 + -4 = 96 12z = 96 Divide each side by '12'. z = 8 Simplifying z = 8
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