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Simplifying 4 + 12z + -3 = 9z + 41 + -5z Reorder the terms: 4 + -3 + 12z = 9z + 41 + -5z Combine like terms: 4 + -3 = 1 1 + 12z = 9z + 41 + -5z Reorder the terms: 1 + 12z = 41 + 9z + -5z Combine like terms: 9z + -5z = 4z 1 + 12z = 41 + 4z Solving 1 + 12z = 41 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 12z + -4z = 41 + 4z + -4z Combine like terms: 12z + -4z = 8z 1 + 8z = 41 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + 8z = 41 + 0 1 + 8z = 41 Add '-1' to each side of the equation. 1 + -1 + 8z = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 8z = 41 + -1 8z = 41 + -1 Combine like terms: 41 + -1 = 40 8z = 40 Divide each side by '8'. z = 5 Simplifying z = 5
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