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Simplifying 8 + 5(3z + -1) = 0 Reorder the terms: 8 + 5(-1 + 3z) = 0 8 + (-1 * 5 + 3z * 5) = 0 8 + (-5 + 15z) = 0 Combine like terms: 8 + -5 = 3 3 + 15z = 0 Solving 3 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 15z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 15z = 0 + -3 15z = 0 + -3 Combine like terms: 0 + -3 = -3 15z = -3 Divide each side by '15'. z = -0.2 Simplifying z = -0.2
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