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Simplifying 4.7z + 3.7 = 2.8z + 5.6 Reorder the terms: 3.7 + 4.7z = 2.8z + 5.6 Reorder the terms: 3.7 + 4.7z = 5.6 + 2.8z Solving 3.7 + 4.7z = 5.6 + 2.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.8z' to each side of the equation. 3.7 + 4.7z + -2.8z = 5.6 + 2.8z + -2.8z Combine like terms: 4.7z + -2.8z = 1.9z 3.7 + 1.9z = 5.6 + 2.8z + -2.8z Combine like terms: 2.8z + -2.8z = 0.0 3.7 + 1.9z = 5.6 + 0.0 3.7 + 1.9z = 5.6 Add '-3.7' to each side of the equation. 3.7 + -3.7 + 1.9z = 5.6 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + 1.9z = 5.6 + -3.7 1.9z = 5.6 + -3.7 Combine like terms: 5.6 + -3.7 = 1.9 1.9z = 1.9 Divide each side by '1.9'. z = 1 Simplifying z = 1
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