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Simplifying 12 + 9(3z + -2) + -15z = 0 Reorder the terms: 12 + 9(-2 + 3z) + -15z = 0 12 + (-2 * 9 + 3z * 9) + -15z = 0 12 + (-18 + 27z) + -15z = 0 Combine like terms: 12 + -18 = -6 -6 + 27z + -15z = 0 Combine like terms: 27z + -15z = 12z -6 + 12z = 0 Solving -6 + 12z = 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 + 12z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12z = 0 + 6 12z = 0 + 6 Combine like terms: 0 + 6 = 6 12z = 6 Divide each side by '12'. z = 0.5 Simplifying z = 0.5
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