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Simplifying 9(6z + -8) = 29 + 7z Reorder the terms: 9(-8 + 6z) = 29 + 7z (-8 * 9 + 6z * 9) = 29 + 7z (-72 + 54z) = 29 + 7z Solving -72 + 54z = 29 + 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. -72 + 54z + -7z = 29 + 7z + -7z Combine like terms: 54z + -7z = 47z -72 + 47z = 29 + 7z + -7z Combine like terms: 7z + -7z = 0 -72 + 47z = 29 + 0 -72 + 47z = 29 Add '72' to each side of the equation. -72 + 72 + 47z = 29 + 72 Combine like terms: -72 + 72 = 0 0 + 47z = 29 + 72 47z = 29 + 72 Combine like terms: 29 + 72 = 101 47z = 101 Divide each side by '47'. z = 2.14893617 Simplifying z = 2.14893617
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