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Simplifying 3 + 14z + -1 = 8z + 46 + -5z Reorder the terms: 3 + -1 + 14z = 8z + 46 + -5z Combine like terms: 3 + -1 = 2 2 + 14z = 8z + 46 + -5z Reorder the terms: 2 + 14z = 46 + 8z + -5z Combine like terms: 8z + -5z = 3z 2 + 14z = 46 + 3z Solving 2 + 14z = 46 + 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. 2 + 14z + -3z = 46 + 3z + -3z Combine like terms: 14z + -3z = 11z 2 + 11z = 46 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 11z = 46 + 0 2 + 11z = 46 Add '-2' to each side of the equation. 2 + -2 + 11z = 46 + -2 Combine like terms: 2 + -2 = 0 0 + 11z = 46 + -2 11z = 46 + -2 Combine like terms: 46 + -2 = 44 11z = 44 Divide each side by '11'. z = 4 Simplifying z = 4
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