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Simplifying 7(z + 3) + -3z = 44 Reorder the terms: 7(3 + z) + -3z = 44 (3 * 7 + z * 7) + -3z = 44 (21 + 7z) + -3z = 44 Combine like terms: 7z + -3z = 4z 21 + 4z = 44 Solving 21 + 4z = 44 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 4z = 44 + -21 Combine like terms: 21 + -21 = 0 0 + 4z = 44 + -21 4z = 44 + -21 Combine like terms: 44 + -21 = 23 4z = 23 Divide each side by '4'. z = 5.75 Simplifying z = 5.75
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