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Simplifying z = 3z + 4(z + 6) Reorder the terms: z = 3z + 4(6 + z) z = 3z + (6 * 4 + z * 4) z = 3z + (24 + 4z) Reorder the terms: z = 24 + 3z + 4z Combine like terms: 3z + 4z = 7z z = 24 + 7z Solving z = 24 + 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. z + -7z = 24 + 7z + -7z Combine like terms: z + -7z = -6z -6z = 24 + 7z + -7z Combine like terms: 7z + -7z = 0 -6z = 24 + 0 -6z = 24 Divide each side by '-6'. z = -4 Simplifying z = -4
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