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