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Simplifying 55 = 5(z + -74) Reorder the terms: 55 = 5(-74 + z) 55 = (-74 * 5 + z * 5) 55 = (-370 + 5z) Solving 55 = -370 + 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. 55 + -5z = -370 + 5z + -5z Combine like terms: 5z + -5z = 0 55 + -5z = -370 + 0 55 + -5z = -370 Add '-55' to each side of the equation. 55 + -55 + -5z = -370 + -55 Combine like terms: 55 + -55 = 0 0 + -5z = -370 + -55 -5z = -370 + -55 Combine like terms: -370 + -55 = -425 -5z = -425 Divide each side by '-5'. z = 85 Simplifying z = 85
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