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Simplifying 0.8z + -4 = -0.9z + 1 Reorder the terms: -4 + 0.8z = -0.9z + 1 Reorder the terms: -4 + 0.8z = 1 + -0.9z Solving -4 + 0.8z = 1 + -0.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.9z' to each side of the equation. -4 + 0.8z + 0.9z = 1 + -0.9z + 0.9z Combine like terms: 0.8z + 0.9z = 1.7z -4 + 1.7z = 1 + -0.9z + 0.9z Combine like terms: -0.9z + 0.9z = 0.0 -4 + 1.7z = 1 + 0.0 -4 + 1.7z = 1 Add '4' to each side of the equation. -4 + 4 + 1.7z = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1.7z = 1 + 4 1.7z = 1 + 4 Combine like terms: 1 + 4 = 5 1.7z = 5 Divide each side by '1.7'. z = 2.941176471 Simplifying z = 2.941176471
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