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Simplifying -9z + 5 + 7z = -3z + 10 Reorder the terms: 5 + -9z + 7z = -3z + 10 Combine like terms: -9z + 7z = -2z 5 + -2z = -3z + 10 Reorder the terms: 5 + -2z = 10 + -3z Solving 5 + -2z = 10 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 5 + -2z + 3z = 10 + -3z + 3z Combine like terms: -2z + 3z = 1z 5 + 1z = 10 + -3z + 3z Combine like terms: -3z + 3z = 0 5 + 1z = 10 + 0 5 + 1z = 10 Add '-5' to each side of the equation. 5 + -5 + 1z = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 10 + -5 1z = 10 + -5 Combine like terms: 10 + -5 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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