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Simplifying 7z + 7 + -3z = 10 + 3z + 7 Reorder the terms: 7 + 7z + -3z = 10 + 3z + 7 Combine like terms: 7z + -3z = 4z 7 + 4z = 10 + 3z + 7 Reorder the terms: 7 + 4z = 10 + 7 + 3z Combine like terms: 10 + 7 = 17 7 + 4z = 17 + 3z Solving 7 + 4z = 17 + 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. 7 + 4z + -3z = 17 + 3z + -3z Combine like terms: 4z + -3z = 1z 7 + 1z = 17 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + 1z = 17 + 0 7 + 1z = 17 Add '-7' to each side of the equation. 7 + -7 + 1z = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 17 + -7 1z = 17 + -7 Combine like terms: 17 + -7 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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