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Simplifying 5(3z + 4) + -4z = 0 Reorder the terms: 5(4 + 3z) + -4z = 0 (4 * 5 + 3z * 5) + -4z = 0 (20 + 15z) + -4z = 0 Combine like terms: 15z + -4z = 11z 20 + 11z = 0 Solving 20 + 11z = 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 + 11z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 11z = 0 + -20 11z = 0 + -20 Combine like terms: 0 + -20 = -20 11z = -20 Divide each side by '11'. z = -1.818181818 Simplifying z = -1.818181818
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