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Simplifying 7 + 10z + -6 = 8z + 46 + -3z Reorder the terms: 7 + -6 + 10z = 8z + 46 + -3z Combine like terms: 7 + -6 = 1 1 + 10z = 8z + 46 + -3z Reorder the terms: 1 + 10z = 46 + 8z + -3z Combine like terms: 8z + -3z = 5z 1 + 10z = 46 + 5z Solving 1 + 10z = 46 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 10z + -5z = 46 + 5z + -5z Combine like terms: 10z + -5z = 5z 1 + 5z = 46 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + 5z = 46 + 0 1 + 5z = 46 Add '-1' to each side of the equation. 1 + -1 + 5z = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 5z = 46 + -1 5z = 46 + -1 Combine like terms: 46 + -1 = 45 5z = 45 Divide each side by '5'. z = 9 Simplifying z = 9
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