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Simplifying -6(9z + 8) = -23 Reorder the terms: -6(8 + 9z) = -23 (8 * -6 + 9z * -6) = -23 (-48 + -54z) = -23 Solving -48 + -54z = -23 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -54z = -23 + 48 Combine like terms: -48 + 48 = 0 0 + -54z = -23 + 48 -54z = -23 + 48 Combine like terms: -23 + 48 = 25 -54z = 25 Divide each side by '-54'. z = -0.462962963 Simplifying z = -0.462962963
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