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Simplifying 9z + 10 + -3 = 6 + 5z + -2 Reorder the terms: 10 + -3 + 9z = 6 + 5z + -2 Combine like terms: 10 + -3 = 7 7 + 9z = 6 + 5z + -2 Reorder the terms: 7 + 9z = 6 + -2 + 5z Combine like terms: 6 + -2 = 4 7 + 9z = 4 + 5z Solving 7 + 9z = 4 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7 + 9z + -5z = 4 + 5z + -5z Combine like terms: 9z + -5z = 4z 7 + 4z = 4 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + 4z = 4 + 0 7 + 4z = 4 Add '-7' to each side of the equation. 7 + -7 + 4z = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 4z = 4 + -7 4z = 4 + -7 Combine like terms: 4 + -7 = -3 4z = -3 Divide each side by '4'. z = -0.75 Simplifying z = -0.75
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