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Simplifying 2z + 9 = 4z + 6 Reorder the terms: 9 + 2z = 4z + 6 Reorder the terms: 9 + 2z = 6 + 4z Solving 9 + 2z = 6 + 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. 9 + 2z + -4z = 6 + 4z + -4z Combine like terms: 2z + -4z = -2z 9 + -2z = 6 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + -2z = 6 + 0 9 + -2z = 6 Add '-9' to each side of the equation. 9 + -9 + -2z = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -2z = 6 + -9 -2z = 6 + -9 Combine like terms: 6 + -9 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5
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