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Simplifying 3(z + 4) + -6z = 0 Reorder the terms: 3(4 + z) + -6z = 0 (4 * 3 + z * 3) + -6z = 0 (12 + 3z) + -6z = 0 Combine like terms: 3z + -6z = -3z 12 + -3z = 0 Solving 12 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3z = 0 + -12 -3z = 0 + -12 Combine like terms: 0 + -12 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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