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Simplifying 7z + -6 = 3z + 10 Reorder the terms: -6 + 7z = 3z + 10 Reorder the terms: -6 + 7z = 10 + 3z Solving -6 + 7z = 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. -6 + 7z + -3z = 10 + 3z + -3z Combine like terms: 7z + -3z = 4z -6 + 4z = 10 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + 4z = 10 + 0 -6 + 4z = 10 Add '6' to each side of the equation. -6 + 6 + 4z = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4z = 10 + 6 4z = 10 + 6 Combine like terms: 10 + 6 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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