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Simplifying -4z + -5(-4z + -6) = 0 Reorder the terms: -4z + -5(-6 + -4z) = 0 -4z + (-6 * -5 + -4z * -5) = 0 -4z + (30 + 20z) = 0 Reorder the terms: 30 + -4z + 20z = 0 Combine like terms: -4z + 20z = 16z 30 + 16z = 0 Solving 30 + 16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 16z = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 16z = 0 + -30 16z = 0 + -30 Combine like terms: 0 + -30 = -30 16z = -30 Divide each side by '16'. z = -1.875 Simplifying z = -1.875
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