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Simplifying (3z + -4)(8 + 2) = 0 Reorder the terms: (-4 + 3z)(8 + 2) = 0 Combine like terms: 8 + 2 = 10 (-4 + 3z)(10) = 0 Reorder the terms for easier multiplication: 10(-4 + 3z) = 0 (-4 * 10 + 3z * 10) = 0 (-40 + 30z) = 0 Solving -40 + 30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 30z = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 30z = 0 + 40 30z = 0 + 40 Combine like terms: 0 + 40 = 40 30z = 40 Divide each side by '30'. z = 1.333333333 Simplifying z = 1.333333333
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