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Simplifying (2 + -7)(z + 5) = 0 Combine like terms: 2 + -7 = -5 (-5)(z + 5) = 0 Reorder the terms: -5(5 + z) = 0 (5 * -5 + z * -5) = 0 (-25 + -5z) = 0 Solving -25 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -5z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -5z = 0 + 25 -5z = 0 + 25 Combine like terms: 0 + 25 = 25 -5z = 25 Divide each side by '-5'. z = -5 Simplifying z = -5
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