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Simplifying (9 + -2)(5z + 1) = 0 Combine like terms: 9 + -2 = 7 (7)(5z + 1) = 0 Reorder the terms: 7(1 + 5z) = 0 (1 * 7 + 5z * 7) = 0 (7 + 35z) = 0 Solving 7 + 35z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 35z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 35z = 0 + -7 35z = 0 + -7 Combine like terms: 0 + -7 = -7 35z = -7 Divide each side by '35'. z = -0.2 Simplifying z = -0.2
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