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Simplifying 6z + 7 = 4z + -9 Reorder the terms: 7 + 6z = 4z + -9 Reorder the terms: 7 + 6z = -9 + 4z Solving 7 + 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. 7 + 6z + -4z = -9 + 4z + -4z Combine like terms: 6z + -4z = 2z 7 + 2z = -9 + 4z + -4z Combine like terms: 4z + -4z = 0 7 + 2z = -9 + 0 7 + 2z = -9 Add '-7' to each side of the equation. 7 + -7 + 2z = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = -9 + -7 2z = -9 + -7 Combine like terms: -9 + -7 = -16 2z = -16 Divide each side by '2'. z = -8 Simplifying z = -8
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