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Simplifying 1 + -8z + 24 = -3z + 1 + -7 Reorder the terms: 1 + 24 + -8z = -3z + 1 + -7 Combine like terms: 1 + 24 = 25 25 + -8z = -3z + 1 + -7 Reorder the terms: 25 + -8z = 1 + -7 + -3z Combine like terms: 1 + -7 = -6 25 + -8z = -6 + -3z Solving 25 + -8z = -6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 25 + -8z + 3z = -6 + -3z + 3z Combine like terms: -8z + 3z = -5z 25 + -5z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 25 + -5z = -6 + 0 25 + -5z = -6 Add '-25' to each side of the equation. 25 + -25 + -5z = -6 + -25 Combine like terms: 25 + -25 = 0 0 + -5z = -6 + -25 -5z = -6 + -25 Combine like terms: -6 + -25 = -31 -5z = -31 Divide each side by '-5'. z = 6.2 Simplifying z = 6.2
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