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Simplifying (8z + -6)(12 + 14) = 0 Reorder the terms: (-6 + 8z)(12 + 14) = 0 Combine like terms: 12 + 14 = 26 (-6 + 8z)(26) = 0 Reorder the terms for easier multiplication: 26(-6 + 8z) = 0 (-6 * 26 + 8z * 26) = 0 (-156 + 208z) = 0 Solving -156 + 208z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '156' to each side of the equation. -156 + 156 + 208z = 0 + 156 Combine like terms: -156 + 156 = 0 0 + 208z = 0 + 156 208z = 0 + 156 Combine like terms: 0 + 156 = 156 208z = 156 Divide each side by '208'. z = 0.75 Simplifying z = 0.75
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