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Simplifying 40 = 5(4 + -1z) 40 = (4 * 5 + -1z * 5) 40 = (20 + -5z) Solving 40 = 20 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 40 + 5z = 20 + -5z + 5z Combine like terms: -5z + 5z = 0 40 + 5z = 20 + 0 40 + 5z = 20 Add '-40' to each side of the equation. 40 + -40 + 5z = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 5z = 20 + -40 5z = 20 + -40 Combine like terms: 20 + -40 = -20 5z = -20 Divide each side by '5'. z = -4 Simplifying z = -4
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