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Simplifying 4 + 2z + -3 = 9z + 25 + -3z Reorder the terms: 4 + -3 + 2z = 9z + 25 + -3z Combine like terms: 4 + -3 = 1 1 + 2z = 9z + 25 + -3z Reorder the terms: 1 + 2z = 25 + 9z + -3z Combine like terms: 9z + -3z = 6z 1 + 2z = 25 + 6z Solving 1 + 2z = 25 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 2z + -6z = 25 + 6z + -6z Combine like terms: 2z + -6z = -4z 1 + -4z = 25 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -4z = 25 + 0 1 + -4z = 25 Add '-1' to each side of the equation. 1 + -1 + -4z = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = 25 + -1 -4z = 25 + -1 Combine like terms: 25 + -1 = 24 -4z = 24 Divide each side by '-4'. z = -6 Simplifying z = -6
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