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Simplifying 2z + -6 = 14 + -3z Reorder the terms: -6 + 2z = 14 + -3z Solving -6 + 2z = 14 + -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 = 14 + -3z + 3z Combine like terms: 2z + 3z = 5z -6 + 5z = 14 + -3z + 3z Combine like terms: -3z + 3z = 0 -6 + 5z = 14 + 0 -6 + 5z = 14 Add '6' to each side of the equation. -6 + 6 + 5z = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 14 + 6 5z = 14 + 6 Combine like terms: 14 + 6 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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