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Simplifying 3z + -7 = 4 + -5z Reorder the terms: -7 + 3z = 4 + -5z Solving -7 + 3z = 4 + -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 + 3z + 5z = 4 + -5z + 5z Combine like terms: 3z + 5z = 8z -7 + 8z = 4 + -5z + 5z Combine like terms: -5z + 5z = 0 -7 + 8z = 4 + 0 -7 + 8z = 4 Add '7' to each side of the equation. -7 + 7 + 8z = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 8z = 4 + 7 8z = 4 + 7 Combine like terms: 4 + 7 = 11 8z = 11 Divide each side by '8'. z = 1.375 Simplifying z = 1.375
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