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Simplifying -4(6 + -3z) = 5z + 46 (6 * -4 + -3z * -4) = 5z + 46 (-24 + 12z) = 5z + 46 Reorder the terms: -24 + 12z = 46 + 5z Solving -24 + 12z = 46 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -24 + 12z + -5z = 46 + 5z + -5z Combine like terms: 12z + -5z = 7z -24 + 7z = 46 + 5z + -5z Combine like terms: 5z + -5z = 0 -24 + 7z = 46 + 0 -24 + 7z = 46 Add '24' to each side of the equation. -24 + 24 + 7z = 46 + 24 Combine like terms: -24 + 24 = 0 0 + 7z = 46 + 24 7z = 46 + 24 Combine like terms: 46 + 24 = 70 7z = 70 Divide each side by '7'. z = 10 Simplifying z = 10
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