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Simplifying 5(3z + -7z + 4) = 0 Reorder the terms: 5(4 + 3z + -7z) = 0 Combine like terms: 3z + -7z = -4z 5(4 + -4z) = 0 (4 * 5 + -4z * 5) = 0 (20 + -20z) = 0 Solving 20 + -20z = 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 + -20z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -20z = 0 + -20 -20z = 0 + -20 Combine like terms: 0 + -20 = -20 -20z = -20 Divide each side by '-20'. z = 1 Simplifying z = 1
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