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Simplifying 7z + 44 = 3z + 30 Reorder the terms: 44 + 7z = 3z + 30 Reorder the terms: 44 + 7z = 30 + 3z Solving 44 + 7z = 30 + 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. 44 + 7z + -3z = 30 + 3z + -3z Combine like terms: 7z + -3z = 4z 44 + 4z = 30 + 3z + -3z Combine like terms: 3z + -3z = 0 44 + 4z = 30 + 0 44 + 4z = 30 Add '-44' to each side of the equation. 44 + -44 + 4z = 30 + -44 Combine like terms: 44 + -44 = 0 0 + 4z = 30 + -44 4z = 30 + -44 Combine like terms: 30 + -44 = -14 4z = -14 Divide each side by '4'. z = -3.5 Simplifying z = -3.5
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