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Simplifying 3z + 14 = z + 43 Reorder the terms: 14 + 3z = z + 43 Reorder the terms: 14 + 3z = 43 + z Solving 14 + 3z = 43 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 14 + 3z + -1z = 43 + z + -1z Combine like terms: 3z + -1z = 2z 14 + 2z = 43 + z + -1z Combine like terms: z + -1z = 0 14 + 2z = 43 + 0 14 + 2z = 43 Add '-14' to each side of the equation. 14 + -14 + 2z = 43 + -14 Combine like terms: 14 + -14 = 0 0 + 2z = 43 + -14 2z = 43 + -14 Combine like terms: 43 + -14 = 29 2z = 29 Divide each side by '2'. z = 14.5 Simplifying z = 14.5
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