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Simplifying 7(z + 4) = 6z Reorder the terms: 7(4 + z) = 6z (4 * 7 + z * 7) = 6z (28 + 7z) = 6z Solving 28 + 7z = 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 28 + 7z + -6z = 6z + -6z Combine like terms: 7z + -6z = 1z 28 + 1z = 6z + -6z Combine like terms: 6z + -6z = 0 28 + 1z = 0 Add '-28' to each side of the equation. 28 + -28 + 1z = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = 0 + -28 1z = 0 + -28 Combine like terms: 0 + -28 = -28 1z = -28 Divide each side by '1'. z = -28 Simplifying z = -28
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