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Simplifying 5 + -2z = 2 + -5z Solving 5 + -2z = 2 + -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. 5 + -2z + 5z = 2 + -5z + 5z Combine like terms: -2z + 5z = 3z 5 + 3z = 2 + -5z + 5z Combine like terms: -5z + 5z = 0 5 + 3z = 2 + 0 5 + 3z = 2 Add '-5' to each side of the equation. 5 + -5 + 3z = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = 2 + -5 3z = 2 + -5 Combine like terms: 2 + -5 = -3 3z = -3 Divide each side by '3'. z = -1 Simplifying z = -1
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