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Simplifying 5z + -20 = -40 + 9z Reorder the terms: -20 + 5z = -40 + 9z Solving -20 + 5z = -40 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -20 + 5z + -9z = -40 + 9z + -9z Combine like terms: 5z + -9z = -4z -20 + -4z = -40 + 9z + -9z Combine like terms: 9z + -9z = 0 -20 + -4z = -40 + 0 -20 + -4z = -40 Add '20' to each side of the equation. -20 + 20 + -4z = -40 + 20 Combine like terms: -20 + 20 = 0 0 + -4z = -40 + 20 -4z = -40 + 20 Combine like terms: -40 + 20 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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