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Simplifying 2(z + 3) + -8z = 0 Reorder the terms: 2(3 + z) + -8z = 0 (3 * 2 + z * 2) + -8z = 0 (6 + 2z) + -8z = 0 Combine like terms: 2z + -8z = -6z 6 + -6z = 0 Solving 6 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6z = 0 + -6 -6z = 0 + -6 Combine like terms: 0 + -6 = -6 -6z = -6 Divide each side by '-6'. z = 1 Simplifying z = 1
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