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Simplifying 7z + 10 = 9z + -2 Reorder the terms: 10 + 7z = 9z + -2 Reorder the terms: 10 + 7z = -2 + 9z Solving 10 + 7z = -2 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 10 + 7z + -9z = -2 + 9z + -9z Combine like terms: 7z + -9z = -2z 10 + -2z = -2 + 9z + -9z Combine like terms: 9z + -9z = 0 10 + -2z = -2 + 0 10 + -2z = -2 Add '-10' to each side of the equation. 10 + -10 + -2z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = -2 + -10 -2z = -2 + -10 Combine like terms: -2 + -10 = -12 -2z = -12 Divide each side by '-2'. z = 6 Simplifying z = 6
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