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Simplifying 4z + 5(z + -7) = 0 Reorder the terms: 4z + 5(-7 + z) = 0 4z + (-7 * 5 + z * 5) = 0 4z + (-35 + 5z) = 0 Reorder the terms: -35 + 4z + 5z = 0 Combine like terms: 4z + 5z = 9z -35 + 9z = 0 Solving -35 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 9z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 9z = 0 + 35 9z = 0 + 35 Combine like terms: 0 + 35 = 35 9z = 35 Divide each side by '9'. z = 3.888888889 Simplifying z = 3.888888889
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