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Simplifying 3(7 + 6z) = 0 (7 * 3 + 6z * 3) = 0 (21 + 18z) = 0 Solving 21 + 18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 18z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 18z = 0 + -21 18z = 0 + -21 Combine like terms: 0 + -21 = -21 18z = -21 Divide each side by '18'. z = -1.166666667 Simplifying z = -1.166666667
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