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Simplifying 6z + 9 + -4z = 8 + z + -3 Reorder the terms: 9 + 6z + -4z = 8 + z + -3 Combine like terms: 6z + -4z = 2z 9 + 2z = 8 + z + -3 Reorder the terms: 9 + 2z = 8 + -3 + z Combine like terms: 8 + -3 = 5 9 + 2z = 5 + z Solving 9 + 2z = 5 + 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 + 2z + -1z = 5 + z + -1z Combine like terms: 2z + -1z = 1z 9 + 1z = 5 + z + -1z Combine like terms: z + -1z = 0 9 + 1z = 5 + 0 9 + 1z = 5 Add '-9' to each side of the equation. 9 + -9 + 1z = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 5 + -9 1z = 5 + -9 Combine like terms: 5 + -9 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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