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Simplifying (3z + -4)(7 + -2) = 0 Reorder the terms: (-4 + 3z)(7 + -2) = 0 Combine like terms: 7 + -2 = 5 (-4 + 3z)(5) = 0 Reorder the terms for easier multiplication: 5(-4 + 3z) = 0 (-4 * 5 + 3z * 5) = 0 (-20 + 15z) = 0 Solving -20 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 15z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 15z = 0 + 20 15z = 0 + 20 Combine like terms: 0 + 20 = 20 15z = 20 Divide each side by '15'. z = 1.333333333 Simplifying z = 1.333333333
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