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Simplifying 9 + -3z = 29 + z Solving 9 + -3z = 29 + 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. 9 + -3z + -1z = 29 + z + -1z Combine like terms: -3z + -1z = -4z 9 + -4z = 29 + z + -1z Combine like terms: z + -1z = 0 9 + -4z = 29 + 0 9 + -4z = 29 Add '-9' to each side of the equation. 9 + -9 + -4z = 29 + -9 Combine like terms: 9 + -9 = 0 0 + -4z = 29 + -9 -4z = 29 + -9 Combine like terms: 29 + -9 = 20 -4z = 20 Divide each side by '-4'. z = -5 Simplifying z = -5
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