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Simplifying 25 + 2z + -10 = 10z + -10 + -3z Reorder the terms: 25 + -10 + 2z = 10z + -10 + -3z Combine like terms: 25 + -10 = 15 15 + 2z = 10z + -10 + -3z Reorder the terms: 15 + 2z = -10 + 10z + -3z Combine like terms: 10z + -3z = 7z 15 + 2z = -10 + 7z Solving 15 + 2z = -10 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 15 + 2z + -7z = -10 + 7z + -7z Combine like terms: 2z + -7z = -5z 15 + -5z = -10 + 7z + -7z Combine like terms: 7z + -7z = 0 15 + -5z = -10 + 0 15 + -5z = -10 Add '-15' to each side of the equation. 15 + -15 + -5z = -10 + -15 Combine like terms: 15 + -15 = 0 0 + -5z = -10 + -15 -5z = -10 + -15 Combine like terms: -10 + -15 = -25 -5z = -25 Divide each side by '-5'. z = 5 Simplifying z = 5
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