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Simplifying 6 + 9z + -1 = 8z + 47 + -5z Reorder the terms: 6 + -1 + 9z = 8z + 47 + -5z Combine like terms: 6 + -1 = 5 5 + 9z = 8z + 47 + -5z Reorder the terms: 5 + 9z = 47 + 8z + -5z Combine like terms: 8z + -5z = 3z 5 + 9z = 47 + 3z Solving 5 + 9z = 47 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5 + 9z + -3z = 47 + 3z + -3z Combine like terms: 9z + -3z = 6z 5 + 6z = 47 + 3z + -3z Combine like terms: 3z + -3z = 0 5 + 6z = 47 + 0 5 + 6z = 47 Add '-5' to each side of the equation. 5 + -5 + 6z = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 6z = 47 + -5 6z = 47 + -5 Combine like terms: 47 + -5 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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