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Simplifying -4z + 4.6 + -2.5z + -0.1 + 1 = 0 Reorder the terms: 4.6 + -0.1 + 1 + -4z + -2.5z = 0 Combine like terms: 4.6 + -0.1 = 4.5 4.5 + 1 + -4z + -2.5z = 0 Combine like terms: 4.5 + 1 = 5.5 5.5 + -4z + -2.5z = 0 Combine like terms: -4z + -2.5z = -6.5z 5.5 + -6.5z = 0 Solving 5.5 + -6.5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + -6.5z = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -6.5z = 0 + -5.5 -6.5z = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -6.5z = -5.5 Divide each side by '-6.5'. z = 0.8461538462 Simplifying z = 0.8461538462
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