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Simplifying 9 + -5z + 6 = -9 + z Reorder the terms: 9 + 6 + -5z = -9 + z Combine like terms: 9 + 6 = 15 15 + -5z = -9 + z Solving 15 + -5z = -9 + 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. 15 + -5z + -1z = -9 + z + -1z Combine like terms: -5z + -1z = -6z 15 + -6z = -9 + z + -1z Combine like terms: z + -1z = 0 15 + -6z = -9 + 0 15 + -6z = -9 Add '-15' to each side of the equation. 15 + -15 + -6z = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6z = -9 + -15 -6z = -9 + -15 Combine like terms: -9 + -15 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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