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Simplifying 7z + 0.3 = 6z + 1 Reorder the terms: 0.3 + 7z = 6z + 1 Reorder the terms: 0.3 + 7z = 1 + 6z Solving 0.3 + 7z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 0.3 + 7z + -6z = 1 + 6z + -6z Combine like terms: 7z + -6z = 1z 0.3 + 1z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 0.3 + 1z = 1 + 0 0.3 + 1z = 1 Add '-0.3' to each side of the equation. 0.3 + -0.3 + 1z = 1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 1z = 1 + -0.3 1z = 1 + -0.3 Combine like terms: 1 + -0.3 = 0.7 1z = 0.7 Divide each side by '1'. z = 0.7 Simplifying z = 0.7
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