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Simplifying 3(z + 4) = 4 + z Reorder the terms: 3(4 + z) = 4 + z (4 * 3 + z * 3) = 4 + z (12 + 3z) = 4 + z Solving 12 + 3z = 4 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 12 + 3z + -1z = 4 + z + -1z Combine like terms: 3z + -1z = 2z 12 + 2z = 4 + z + -1z Combine like terms: z + -1z = 0 12 + 2z = 4 + 0 12 + 2z = 4 Add '-12' to each side of the equation. 12 + -12 + 2z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 4 + -12 2z = 4 + -12 Combine like terms: 4 + -12 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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