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Simplifying 9 + 4z + -8 = 6z + 10 + -32 Reorder the terms: 9 + -8 + 4z = 6z + 10 + -32 Combine like terms: 9 + -8 = 1 1 + 4z = 6z + 10 + -32 Reorder the terms: 1 + 4z = 10 + -32 + 6z Combine like terms: 10 + -32 = -22 1 + 4z = -22 + 6z Solving 1 + 4z = -22 + 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. 1 + 4z + -6z = -22 + 6z + -6z Combine like terms: 4z + -6z = -2z 1 + -2z = -22 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -2z = -22 + 0 1 + -2z = -22 Add '-1' to each side of the equation. 1 + -1 + -2z = -22 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = -22 + -1 -2z = -22 + -1 Combine like terms: -22 + -1 = -23 -2z = -23 Divide each side by '-2'. z = 11.5 Simplifying z = 11.5
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