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Simplifying 5z + -23 = -41 + 3z Reorder the terms: -23 + 5z = -41 + 3z Solving -23 + 5z = -41 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -23 + 5z + -3z = -41 + 3z + -3z Combine like terms: 5z + -3z = 2z -23 + 2z = -41 + 3z + -3z Combine like terms: 3z + -3z = 0 -23 + 2z = -41 + 0 -23 + 2z = -41 Add '23' to each side of the equation. -23 + 23 + 2z = -41 + 23 Combine like terms: -23 + 23 = 0 0 + 2z = -41 + 23 2z = -41 + 23 Combine like terms: -41 + 23 = -18 2z = -18 Divide each side by '2'. z = -9 Simplifying z = -9
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