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Simplifying 2z + 6 = 15 + -3z Reorder the terms: 6 + 2z = 15 + -3z Solving 6 + 2z = 15 + -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. 6 + 2z + 3z = 15 + -3z + 3z Combine like terms: 2z + 3z = 5z 6 + 5z = 15 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + 5z = 15 + 0 6 + 5z = 15 Add '-6' to each side of the equation. 6 + -6 + 5z = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 5z = 15 + -6 5z = 15 + -6 Combine like terms: 15 + -6 = 9 5z = 9 Divide each side by '5'. z = 1.8 Simplifying z = 1.8
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