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Simplifying -2 + -6(-9z + 4) = 7z + 2 + 8 Reorder the terms: -2 + -6(4 + -9z) = 7z + 2 + 8 -2 + (4 * -6 + -9z * -6) = 7z + 2 + 8 -2 + (-24 + 54z) = 7z + 2 + 8 Combine like terms: -2 + -24 = -26 -26 + 54z = 7z + 2 + 8 Reorder the terms: -26 + 54z = 2 + 8 + 7z Combine like terms: 2 + 8 = 10 -26 + 54z = 10 + 7z Solving -26 + 54z = 10 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -26 + 54z + -7z = 10 + 7z + -7z Combine like terms: 54z + -7z = 47z -26 + 47z = 10 + 7z + -7z Combine like terms: 7z + -7z = 0 -26 + 47z = 10 + 0 -26 + 47z = 10 Add '26' to each side of the equation. -26 + 26 + 47z = 10 + 26 Combine like terms: -26 + 26 = 0 0 + 47z = 10 + 26 47z = 10 + 26 Combine like terms: 10 + 26 = 36 47z = 36 Divide each side by '47'. z = 0.7659574468 Simplifying z = 0.7659574468
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