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Simplifying 40 = -5(z + -1) Reorder the terms: 40 = -5(-1 + z) 40 = (-1 * -5 + z * -5) 40 = (5 + -5z) Solving 40 = 5 + -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 = 5 + -5z + 5z Combine like terms: -5z + 5z = 0 40 + 5z = 5 + 0 40 + 5z = 5 Add '-40' to each side of the equation. 40 + -40 + 5z = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 5z = 5 + -40 5z = 5 + -40 Combine like terms: 5 + -40 = -35 5z = -35 Divide each side by '5'. z = -7 Simplifying z = -7
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