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Simplifying 5z + 2.9 = 12.8 + -4z Reorder the terms: 2.9 + 5z = 12.8 + -4z Solving 2.9 + 5z = 12.8 + -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. 2.9 + 5z + 4z = 12.8 + -4z + 4z Combine like terms: 5z + 4z = 9z 2.9 + 9z = 12.8 + -4z + 4z Combine like terms: -4z + 4z = 0 2.9 + 9z = 12.8 + 0 2.9 + 9z = 12.8 Add '-2.9' to each side of the equation. 2.9 + -2.9 + 9z = 12.8 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + 9z = 12.8 + -2.9 9z = 12.8 + -2.9 Combine like terms: 12.8 + -2.9 = 9.9 9z = 9.9 Divide each side by '9'. z = 1.1 Simplifying z = 1.1
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