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Simplifying -7(z + 4) + 52 = 0 Reorder the terms: -7(4 + z) + 52 = 0 (4 * -7 + z * -7) + 52 = 0 (-28 + -7z) + 52 = 0 Reorder the terms: -28 + 52 + -7z = 0 Combine like terms: -28 + 52 = 24 24 + -7z = 0 Solving 24 + -7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7z = 0 + -24 -7z = 0 + -24 Combine like terms: 0 + -24 = -24 -7z = -24 Divide each side by '-7'. z = 3.428571429 Simplifying z = 3.428571429
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