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Simplifying 3z + 6(z + 3) + -10 = 0 Reorder the terms: 3z + 6(3 + z) + -10 = 0 3z + (3 * 6 + z * 6) + -10 = 0 3z + (18 + 6z) + -10 = 0 Reorder the terms: 18 + -10 + 3z + 6z = 0 Combine like terms: 18 + -10 = 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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