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Simplifying 0.07z = -0.72 + -5(0.3z + -1.4) Reorder the terms: 0.07z = -0.72 + -5(-1.4 + 0.3z) 0.07z = -0.72 + (-1.4 * -5 + 0.3z * -5) 0.07z = -0.72 + (7 + -1.5z) Combine like terms: -0.72 + 7 = 6.28 0.07z = 6.28 + -1.5z Solving 0.07z = 6.28 + -1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.5z' to each side of the equation. 0.07z + 1.5z = 6.28 + -1.5z + 1.5z Combine like terms: 0.07z + 1.5z = 1.57z 1.57z = 6.28 + -1.5z + 1.5z Combine like terms: -1.5z + 1.5z = 0.0 1.57z = 6.28 + 0.0 1.57z = 6.28 Divide each side by '1.57'. z = 4 Simplifying z = 4
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