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Simplifying -3.4(2z + -5) + -2.7z = 0 Reorder the terms: -3.4(-5 + 2z) + -2.7z = 0 (-5 * -3.4 + 2z * -3.4) + -2.7z = 0 (17 + -6.8z) + -2.7z = 0 Combine like terms: -6.8z + -2.7z = -9.5z 17 + -9.5z = 0 Solving 17 + -9.5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -9.5z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -9.5z = 0 + -17 -9.5z = 0 + -17 Combine like terms: 0 + -17 = -17 -9.5z = -17 Divide each side by '-9.5'. z = 1.789473684 Simplifying z = 1.789473684
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