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Simplifying -5z + -6.3 + 4.2z + 0.9z + -1 = 0 Reorder the terms: -6.3 + -1 + -5z + 4.2z + 0.9z = 0 Combine like terms: -6.3 + -1 = -7.3 -7.3 + -5z + 4.2z + 0.9z = 0 Combine like terms: -5z + 4.2z = -0.8z -7.3 + -0.8z + 0.9z = 0 Combine like terms: -0.8z + 0.9z = 0.1z -7.3 + 0.1z = 0 Solving -7.3 + 0.1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7.3' to each side of the equation. -7.3 + 7.3 + 0.1z = 0 + 7.3 Combine like terms: -7.3 + 7.3 = 0.0 0.0 + 0.1z = 0 + 7.3 0.1z = 0 + 7.3 Combine like terms: 0 + 7.3 = 7.3 0.1z = 7.3 Divide each side by '0.1'. z = 73 Simplifying z = 73
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