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Simplifying 4(4z + 1) + -9 = 75 Reorder the terms: 4(1 + 4z) + -9 = 75 (1 * 4 + 4z * 4) + -9 = 75 (4 + 16z) + -9 = 75 Reorder the terms: 4 + -9 + 16z = 75 Combine like terms: 4 + -9 = -5 -5 + 16z = 75 Solving -5 + 16z = 75 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 16z = 75 + 5 Combine like terms: -5 + 5 = 0 0 + 16z = 75 + 5 16z = 75 + 5 Combine like terms: 75 + 5 = 80 16z = 80 Divide each side by '16'. z = 5 Simplifying z = 5
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