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Simplifying 5z + -4.3 = 5.1z + -4.78 Reorder the terms: -4.3 + 5z = 5.1z + -4.78 Reorder the terms: -4.3 + 5z = -4.78 + 5.1z Solving -4.3 + 5z = -4.78 + 5.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.1z' to each side of the equation. -4.3 + 5z + -5.1z = -4.78 + 5.1z + -5.1z Combine like terms: 5z + -5.1z = -0.1z -4.3 + -0.1z = -4.78 + 5.1z + -5.1z Combine like terms: 5.1z + -5.1z = 0.0 -4.3 + -0.1z = -4.78 + 0.0 -4.3 + -0.1z = -4.78 Add '4.3' to each side of the equation. -4.3 + 4.3 + -0.1z = -4.78 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + -0.1z = -4.78 + 4.3 -0.1z = -4.78 + 4.3 Combine like terms: -4.78 + 4.3 = -0.48 -0.1z = -0.48 Divide each side by '-0.1'. z = 4.8 Simplifying z = 4.8
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