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Simplifying 4z + 3(z + 7) = -14 Reorder the terms: 4z + 3(7 + z) = -14 4z + (7 * 3 + z * 3) = -14 4z + (21 + 3z) = -14 Reorder the terms: 21 + 4z + 3z = -14 Combine like terms: 4z + 3z = 7z 21 + 7z = -14 Solving 21 + 7z = -14 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 + 7z = -14 + -21 Combine like terms: 21 + -21 = 0 0 + 7z = -14 + -21 7z = -14 + -21 Combine like terms: -14 + -21 = -35 7z = -35 Divide each side by '7'. z = -5 Simplifying z = -5
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