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Simplifying 5z + 4.6 = 4z + -7.8 Reorder the terms: 4.6 + 5z = 4z + -7.8 Reorder the terms: 4.6 + 5z = -7.8 + 4z Solving 4.6 + 5z = -7.8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 4.6 + 5z + -4z = -7.8 + 4z + -4z Combine like terms: 5z + -4z = 1z 4.6 + 1z = -7.8 + 4z + -4z Combine like terms: 4z + -4z = 0 4.6 + 1z = -7.8 + 0 4.6 + 1z = -7.8 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 1z = -7.8 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 1z = -7.8 + -4.6 1z = -7.8 + -4.6 Combine like terms: -7.8 + -4.6 = -12.4 1z = -12.4 Divide each side by '1'. z = -12.4 Simplifying z = -12.4
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