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Simplifying (z + -4)(2 + 7) = 0 Reorder the terms: (-4 + z)(2 + 7) = 0 Combine like terms: 2 + 7 = 9 (-4 + z)(9) = 0 Reorder the terms for easier multiplication: 9(-4 + z) = 0 (-4 * 9 + z * 9) = 0 (-36 + 9z) = 0 Solving -36 + 9z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 9z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 9z = 0 + 36 9z = 0 + 36 Combine like terms: 0 + 36 = 36 9z = 36 Divide each side by '9'. z = 4 Simplifying z = 4
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