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Simplifying 23 + -1(-6z + -9) + 11z = 7 + -9z Reorder the terms: 23 + -1(-9 + -6z) + 11z = 7 + -9z 23 + (-9 * -1 + -6z * -1) + 11z = 7 + -9z 23 + (9 + 6z) + 11z = 7 + -9z Combine like terms: 23 + 9 = 32 32 + 6z + 11z = 7 + -9z Combine like terms: 6z + 11z = 17z 32 + 17z = 7 + -9z Solving 32 + 17z = 7 + -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. 32 + 17z + 9z = 7 + -9z + 9z Combine like terms: 17z + 9z = 26z 32 + 26z = 7 + -9z + 9z Combine like terms: -9z + 9z = 0 32 + 26z = 7 + 0 32 + 26z = 7 Add '-32' to each side of the equation. 32 + -32 + 26z = 7 + -32 Combine like terms: 32 + -32 = 0 0 + 26z = 7 + -32 26z = 7 + -32 Combine like terms: 7 + -32 = -25 26z = -25 Divide each side by '26'. z = -0.9615384615 Simplifying z = -0.9615384615
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