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Simplifying 2(3z + 6) + -3(z + -2) = 0 Reorder the terms: 2(6 + 3z) + -3(z + -2) = 0 (6 * 2 + 3z * 2) + -3(z + -2) = 0 (12 + 6z) + -3(z + -2) = 0 Reorder the terms: 12 + 6z + -3(-2 + z) = 0 12 + 6z + (-2 * -3 + z * -3) = 0 12 + 6z + (6 + -3z) = 0 Reorder the terms: 12 + 6 + 6z + -3z = 0 Combine like terms: 12 + 6 = 18 18 + 6z + -3z = 0 Combine like terms: 6z + -3z = 3z 18 + 3z = 0 Solving 18 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3z = 0 + -18 3z = 0 + -18 Combine like terms: 0 + -18 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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