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Simplifying 3z + -5 = 10 + -2z Reorder the terms: -5 + 3z = 10 + -2z Solving -5 + 3z = 10 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -5 + 3z + 2z = 10 + -2z + 2z Combine like terms: 3z + 2z = 5z -5 + 5z = 10 + -2z + 2z Combine like terms: -2z + 2z = 0 -5 + 5z = 10 + 0 -5 + 5z = 10 Add '5' to each side of the equation. -5 + 5 + 5z = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 5z = 10 + 5 5z = 10 + 5 Combine like terms: 10 + 5 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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