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Simplifying 10z + -8 = 7z + 4 Reorder the terms: -8 + 10z = 7z + 4 Reorder the terms: -8 + 10z = 4 + 7z Solving -8 + 10z = 4 + 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. -8 + 10z + -7z = 4 + 7z + -7z Combine like terms: 10z + -7z = 3z -8 + 3z = 4 + 7z + -7z Combine like terms: 7z + -7z = 0 -8 + 3z = 4 + 0 -8 + 3z = 4 Add '8' to each side of the equation. -8 + 8 + 3z = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = 4 + 8 3z = 4 + 8 Combine like terms: 4 + 8 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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