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Simplifying 6z + -3 = 9 + 4z Reorder the terms: -3 + 6z = 9 + 4z Solving -3 + 6z = 9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -3 + 6z + -4z = 9 + 4z + -4z Combine like terms: 6z + -4z = 2z -3 + 2z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 -3 + 2z = 9 + 0 -3 + 2z = 9 Add '3' to each side of the equation. -3 + 3 + 2z = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 9 + 3 2z = 9 + 3 Combine like terms: 9 + 3 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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