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Simplifying 8z + -24 = -45 + 5z Reorder the terms: -24 + 8z = -45 + 5z Solving -24 + 8z = -45 + 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 + 8z + -5z = -45 + 5z + -5z Combine like terms: 8z + -5z = 3z -24 + 3z = -45 + 5z + -5z Combine like terms: 5z + -5z = 0 -24 + 3z = -45 + 0 -24 + 3z = -45 Add '24' to each side of the equation. -24 + 24 + 3z = -45 + 24 Combine like terms: -24 + 24 = 0 0 + 3z = -45 + 24 3z = -45 + 24 Combine like terms: -45 + 24 = -21 3z = -21 Divide each side by '3'. z = -7 Simplifying z = -7
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