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Simplifying 4 + 2z + -3 = 7z + 25 + -2z Reorder the terms: 4 + -3 + 2z = 7z + 25 + -2z Combine like terms: 4 + -3 = 1 1 + 2z = 7z + 25 + -2z Reorder the terms: 1 + 2z = 25 + 7z + -2z Combine like terms: 7z + -2z = 5z 1 + 2z = 25 + 5z Solving 1 + 2z = 25 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 1 + 2z + -5z = 25 + 5z + -5z Combine like terms: 2z + -5z = -3z 1 + -3z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 1 + -3z = 25 + 0 1 + -3z = 25 Add '-1' to each side of the equation. 1 + -1 + -3z = 25 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = 25 + -1 -3z = 25 + -1 Combine like terms: 25 + -1 = 24 -3z = 24 Divide each side by '-3'. z = -8 Simplifying z = -8
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