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Simplifying 9(6 + -1z) = -1z (6 * 9 + -1z * 9) = -1z (54 + -9z) = -1z Solving 54 + -9z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 54 + -9z + z = -1z + z Combine like terms: -9z + z = -8z 54 + -8z = -1z + z Combine like terms: -1z + z = 0 54 + -8z = 0 Add '-54' to each side of the equation. 54 + -54 + -8z = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -8z = 0 + -54 -8z = 0 + -54 Combine like terms: 0 + -54 = -54 -8z = -54 Divide each side by '-8'. z = 6.75 Simplifying z = 6.75
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