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Simplifying 5z + 8 + -2z = 43 + -2z Reorder the terms: 8 + 5z + -2z = 43 + -2z Combine like terms: 5z + -2z = 3z 8 + 3z = 43 + -2z Solving 8 + 3z = 43 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 8 + 3z + 2z = 43 + -2z + 2z Combine like terms: 3z + 2z = 5z 8 + 5z = 43 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 5z = 43 + 0 8 + 5z = 43 Add '-8' to each side of the equation. 8 + -8 + 5z = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 43 + -8 5z = 43 + -8 Combine like terms: 43 + -8 = 35 5z = 35 Divide each side by '5'. z = 7 Simplifying z = 7
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