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Simplifying 3(z + -2) + 6z + -2 = 0 Reorder the terms: 3(-2 + z) + 6z + -2 = 0 (-2 * 3 + z * 3) + 6z + -2 = 0 (-6 + 3z) + 6z + -2 = 0 Reorder the terms: -6 + -2 + 3z + 6z = 0 Combine like terms: -6 + -2 = -8 -8 + 3z + 6z = 0 Combine like terms: 3z + 6z = 9z -8 + 9z = 0 Solving -8 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9z = 0 + 8 9z = 0 + 8 Combine like terms: 0 + 8 = 8 9z = 8 Divide each side by '9'. z = 0.8888888889 Simplifying z = 0.8888888889
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