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Simplifying 9z + -11 = 45 + z Reorder the terms: -11 + 9z = 45 + z Solving -11 + 9z = 45 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -11 + 9z + -1z = 45 + z + -1z Combine like terms: 9z + -1z = 8z -11 + 8z = 45 + z + -1z Combine like terms: z + -1z = 0 -11 + 8z = 45 + 0 -11 + 8z = 45 Add '11' to each side of the equation. -11 + 11 + 8z = 45 + 11 Combine like terms: -11 + 11 = 0 0 + 8z = 45 + 11 8z = 45 + 11 Combine like terms: 45 + 11 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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