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Simplifying 2z + -5 + 3z = 2 + -1z Reorder the terms: -5 + 2z + 3z = 2 + -1z Combine like terms: 2z + 3z = 5z -5 + 5z = 2 + -1z Solving -5 + 5z = 2 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -5 + 5z + z = 2 + -1z + z Combine like terms: 5z + z = 6z -5 + 6z = 2 + -1z + z Combine like terms: -1z + z = 0 -5 + 6z = 2 + 0 -5 + 6z = 2 Add '5' to each side of the equation. -5 + 5 + 6z = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 6z = 2 + 5 6z = 2 + 5 Combine like terms: 2 + 5 = 7 6z = 7 Divide each side by '6'. z = 1.166666667 Simplifying z = 1.166666667
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