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Simplifying 2(z + 6) + -3z = 0 Reorder the terms: 2(6 + z) + -3z = 0 (6 * 2 + z * 2) + -3z = 0 (12 + 2z) + -3z = 0 Combine like terms: 2z + -3z = -1z 12 + -1z = 0 Solving 12 + -1z = 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 + -1z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = 0 + -12 -1z = 0 + -12 Combine like terms: 0 + -12 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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