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Simplifying 4 + 7z + -3 = 6z + 10 + -2z Reorder the terms: 4 + -3 + 7z = 6z + 10 + -2z Combine like terms: 4 + -3 = 1 1 + 7z = 6z + 10 + -2z Reorder the terms: 1 + 7z = 10 + 6z + -2z Combine like terms: 6z + -2z = 4z 1 + 7z = 10 + 4z Solving 1 + 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. 1 + 7z + -4z = 10 + 4z + -4z Combine like terms: 7z + -4z = 3z 1 + 3z = 10 + 4z + -4z Combine like terms: 4z + -4z = 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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