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Simplifying 15 + -5z = 24 + -8z Solving 15 + -5z = 24 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 15 + -5z + 8z = 24 + -8z + 8z Combine like terms: -5z + 8z = 3z 15 + 3z = 24 + -8z + 8z Combine like terms: -8z + 8z = 0 15 + 3z = 24 + 0 15 + 3z = 24 Add '-15' to each side of the equation. 15 + -15 + 3z = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 3z = 24 + -15 3z = 24 + -15 Combine like terms: 24 + -15 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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