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Simplifying 8z + -7 = 32 + -7 + 5z Reorder the terms: -7 + 8z = 32 + -7 + 5z Combine like terms: 32 + -7 = 25 -7 + 8z = 25 + 5z Solving -7 + 8z = 25 + 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. -7 + 8z + -5z = 25 + 5z + -5z Combine like terms: 8z + -5z = 3z -7 + 3z = 25 + 5z + -5z Combine like terms: 5z + -5z = 0 -7 + 3z = 25 + 0 -7 + 3z = 25 Add '7' to each side of the equation. -7 + 7 + 3z = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 25 + 7 3z = 25 + 7 Combine like terms: 25 + 7 = 32 3z = 32 Divide each side by '3'. z = 10.66666667 Simplifying z = 10.66666667
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