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Simplifying 4z + 7 = -9z Reorder the terms: 7 + 4z = -9z Solving 7 + 4z = -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 7 + 4z + 9z = -9z + 9z Combine like terms: 4z + 9z = 13z 7 + 13z = -9z + 9z Combine like terms: -9z + 9z = 0 7 + 13z = 0 Add '-7' to each side of the equation. 7 + -7 + 13z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13z = 0 + -7 13z = 0 + -7 Combine like terms: 0 + -7 = -7 13z = -7 Divide each side by '13'. z = -0.5384615385 Simplifying z = -0.5384615385
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