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Simplifying 7 + -5z = 9 + -6z Solving 7 + -5z = 9 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 7 + -5z + 6z = 9 + -6z + 6z Combine like terms: -5z + 6z = 1z 7 + 1z = 9 + -6z + 6z Combine like terms: -6z + 6z = 0 7 + 1z = 9 + 0 7 + 1z = 9 Add '-7' to each side of the equation. 7 + -7 + 1z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 9 + -7 1z = 9 + -7 Combine like terms: 9 + -7 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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