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Simplifying 2z + -15 + 3z = 5 + -5z + 10 Reorder the terms: -15 + 2z + 3z = 5 + -5z + 10 Combine like terms: 2z + 3z = 5z -15 + 5z = 5 + -5z + 10 Reorder the terms: -15 + 5z = 5 + 10 + -5z Combine like terms: 5 + 10 = 15 -15 + 5z = 15 + -5z Solving -15 + 5z = 15 + -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. -15 + 5z + 5z = 15 + -5z + 5z Combine like terms: 5z + 5z = 10z -15 + 10z = 15 + -5z + 5z Combine like terms: -5z + 5z = 0 -15 + 10z = 15 + 0 -15 + 10z = 15 Add '15' to each side of the equation. -15 + 15 + 10z = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 10z = 15 + 15 10z = 15 + 15 Combine like terms: 15 + 15 = 30 10z = 30 Divide each side by '10'. z = 3 Simplifying z = 3
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