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Simplifying 6z + 5 = 47 + -7 Reorder the terms: 5 + 6z = 47 + -7 Combine like terms: 47 + -7 = 40 5 + 6z = 40 Solving 5 + 6z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6z = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = 40 + -5 6z = 40 + -5 Combine like terms: 40 + -5 = 35 6z = 35 Divide each side by '6'. z = 5.833333333 Simplifying z = 5.833333333
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