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Simplifying (4z + -3)(8 + -3) = 0 Reorder the terms: (-3 + 4z)(8 + -3) = 0 Combine like terms: 8 + -3 = 5 (-3 + 4z)(5) = 0 Reorder the terms for easier multiplication: 5(-3 + 4z) = 0 (-3 * 5 + 4z * 5) = 0 (-15 + 20z) = 0 Solving -15 + 20z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 20z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 20z = 0 + 15 20z = 0 + 15 Combine like terms: 0 + 15 = 15 20z = 15 Divide each side by '20'. z = 0.75 Simplifying z = 0.75
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