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Simplifying 7z + 2 + -2z = 10 + 4z + -3 Reorder the terms: 2 + 7z + -2z = 10 + 4z + -3 Combine like terms: 7z + -2z = 5z 2 + 5z = 10 + 4z + -3 Reorder the terms: 2 + 5z = 10 + -3 + 4z Combine like terms: 10 + -3 = 7 2 + 5z = 7 + 4z Solving 2 + 5z = 7 + 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. 2 + 5z + -4z = 7 + 4z + -4z Combine like terms: 5z + -4z = 1z 2 + 1z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 1z = 7 + 0 2 + 1z = 7 Add '-2' to each side of the equation. 2 + -2 + 1z = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 7 + -2 1z = 7 + -2 Combine like terms: 7 + -2 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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