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Simplifying 6z + 9 + -2z = 10 + 3z + -3 Reorder the terms: 9 + 6z + -2z = 10 + 3z + -3 Combine like terms: 6z + -2z = 4z 9 + 4z = 10 + 3z + -3 Reorder the terms: 9 + 4z = 10 + -3 + 3z Combine like terms: 10 + -3 = 7 9 + 4z = 7 + 3z Solving 9 + 4z = 7 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9 + 4z + -3z = 7 + 3z + -3z Combine like terms: 4z + -3z = 1z 9 + 1z = 7 + 3z + -3z Combine like terms: 3z + -3z = 0 9 + 1z = 7 + 0 9 + 1z = 7 Add '-9' to each side of the equation. 9 + -9 + 1z = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 7 + -9 1z = 7 + -9 Combine like terms: 7 + -9 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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