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Simplifying 7z + -5 = 4z + 10 Reorder the terms: -5 + 7z = 4z + 10 Reorder the terms: -5 + 7z = 10 + 4z Solving -5 + 7z = 10 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -5 + 7z + -4z = 10 + 4z + -4z Combine like terms: 7z + -4z = 3z -5 + 3z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 -5 + 3z = 10 + 0 -5 + 3z = 10 Add '5' to each side of the equation. -5 + 5 + 3z = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3z = 10 + 5 3z = 10 + 5 Combine like terms: 10 + 5 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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