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Simplifying -24 = 6(7z + -8) Reorder the terms: -24 = 6(-8 + 7z) -24 = (-8 * 6 + 7z * 6) -24 = (-48 + 42z) Solving -24 = -48 + 42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42z' to each side of the equation. -24 + -42z = -48 + 42z + -42z Combine like terms: 42z + -42z = 0 -24 + -42z = -48 + 0 -24 + -42z = -48 Add '24' to each side of the equation. -24 + 24 + -42z = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -42z = -48 + 24 -42z = -48 + 24 Combine like terms: -48 + 24 = -24 -42z = -24 Divide each side by '-42'. z = 0.5714285714 Simplifying z = 0.5714285714
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