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Simplifying 43 + -3z = z + 9 Reorder the terms: 43 + -3z = 9 + z Solving 43 + -3z = 9 + 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. 43 + -3z + -1z = 9 + z + -1z Combine like terms: -3z + -1z = -4z 43 + -4z = 9 + z + -1z Combine like terms: z + -1z = 0 43 + -4z = 9 + 0 43 + -4z = 9 Add '-43' to each side of the equation. 43 + -43 + -4z = 9 + -43 Combine like terms: 43 + -43 = 0 0 + -4z = 9 + -43 -4z = 9 + -43 Combine like terms: 9 + -43 = -34 -4z = -34 Divide each side by '-4'. z = 8.5 Simplifying z = 8.5
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