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Simplifying 6z + 48 + -7z + 35 = 0 Reorder the terms: 48 + 35 + 6z + -7z = 0 Combine like terms: 48 + 35 = 83 83 + 6z + -7z = 0 Combine like terms: 6z + -7z = -1z 83 + -1z = 0 Solving 83 + -1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + -1z = 0 + -83 Combine like terms: 83 + -83 = 0 0 + -1z = 0 + -83 -1z = 0 + -83 Combine like terms: 0 + -83 = -83 -1z = -83 Divide each side by '-1'. z = 83 Simplifying z = 83
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