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Simplifying 6z + 2 + 6(11z + 3) = 0 Reorder the terms: 6z + 2 + 6(3 + 11z) = 0 6z + 2 + (3 * 6 + 11z * 6) = 0 6z + 2 + (18 + 66z) = 0 Reorder the terms: 2 + 18 + 6z + 66z = 0 Combine like terms: 2 + 18 = 20 20 + 6z + 66z = 0 Combine like terms: 6z + 66z = 72z 20 + 72z = 0 Solving 20 + 72z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 72z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 72z = 0 + -20 72z = 0 + -20 Combine like terms: 0 + -20 = -20 72z = -20 Divide each side by '72'. z = -0.2777777778 Simplifying z = -0.2777777778
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