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Simplifying 4z + 9 = 2z + -6 Reorder the terms: 9 + 4z = 2z + -6 Reorder the terms: 9 + 4z = -6 + 2z Solving 9 + 4z = -6 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 9 + 4z + -2z = -6 + 2z + -2z Combine like terms: 4z + -2z = 2z 9 + 2z = -6 + 2z + -2z Combine like terms: 2z + -2z = 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 = -15 2z = -15 Divide each side by '2'. z = -7.5 Simplifying z = -7.5
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