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Simplifying 8z + -7 = 3z + -7 + 57 Reorder the terms: -7 + 8z = 3z + -7 + 57 Reorder the terms: -7 + 8z = -7 + 57 + 3z Combine like terms: -7 + 57 = 50 -7 + 8z = 50 + 3z Solving -7 + 8z = 50 + 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. -7 + 8z + -3z = 50 + 3z + -3z Combine like terms: 8z + -3z = 5z -7 + 5z = 50 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 5z = 50 + 0 -7 + 5z = 50 Add '7' to each side of the equation. -7 + 7 + 5z = 50 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = 50 + 7 5z = 50 + 7 Combine like terms: 50 + 7 = 57 5z = 57 Divide each side by '5'. z = 11.4 Simplifying z = 11.4
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