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Simplifying 8z + -12 = 5z + 10 Reorder the terms: -12 + 8z = 5z + 10 Reorder the terms: -12 + 8z = 10 + 5z Solving -12 + 8z = 10 + 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. -12 + 8z + -5z = 10 + 5z + -5z Combine like terms: 8z + -5z = 3z -12 + 3z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 -12 + 3z = 10 + 0 -12 + 3z = 10 Add '12' to each side of the equation. -12 + 12 + 3z = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = 10 + 12 3z = 10 + 12 Combine like terms: 10 + 12 = 22 3z = 22 Divide each side by '3'. z = 7.333333333 Simplifying z = 7.333333333
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