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Simplifying 9z + 12 + -1(6z + 18) = 0 Reorder the terms: 9z + 12 + -1(18 + 6z) = 0 9z + 12 + (18 * -1 + 6z * -1) = 0 9z + 12 + (-18 + -6z) = 0 Reorder the terms: 12 + -18 + 9z + -6z = 0 Combine like terms: 12 + -18 = -6 -6 + 9z + -6z = 0 Combine like terms: 9z + -6z = 3z -6 + 3z = 0 Solving -6 + 3z = 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 + 3z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3z = 0 + 6 3z = 0 + 6 Combine like terms: 0 + 6 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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