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Simplifying -2(5z + -9) + -4(3z + -5) = 0 Reorder the terms: -2(-9 + 5z) + -4(3z + -5) = 0 (-9 * -2 + 5z * -2) + -4(3z + -5) = 0 (18 + -10z) + -4(3z + -5) = 0 Reorder the terms: 18 + -10z + -4(-5 + 3z) = 0 18 + -10z + (-5 * -4 + 3z * -4) = 0 18 + -10z + (20 + -12z) = 0 Reorder the terms: 18 + 20 + -10z + -12z = 0 Combine like terms: 18 + 20 = 38 38 + -10z + -12z = 0 Combine like terms: -10z + -12z = -22z 38 + -22z = 0 Solving 38 + -22z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -22z = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -22z = 0 + -38 -22z = 0 + -38 Combine like terms: 0 + -38 = -38 -22z = -38 Divide each side by '-22'. z = 1.727272727 Simplifying z = 1.727272727
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