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Simplifying 4(z + 5) + -7z = 0 Reorder the terms: 4(5 + z) + -7z = 0 (5 * 4 + z * 4) + -7z = 0 (20 + 4z) + -7z = 0 Combine like terms: 4z + -7z = -3z 20 + -3z = 0 Solving 20 + -3z = 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 + -3z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3z = 0 + -20 -3z = 0 + -20 Combine like terms: 0 + -20 = -20 -3z = -20 Divide each side by '-3'. z = 6.666666667 Simplifying z = 6.666666667
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