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