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