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Simplifying 5z + -7 = 3z + 5 Reorder the terms: -7 + 5z = 3z + 5 Reorder the terms: -7 + 5z = 5 + 3z Solving -7 + 5z = 5 + 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 + 5z + -3z = 5 + 3z + -3z Combine like terms: 5z + -3z = 2z -7 + 2z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 2z = 5 + 0 -7 + 2z = 5 Add '7' to each side of the equation. -7 + 7 + 2z = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2z = 5 + 7 2z = 5 + 7 Combine like terms: 5 + 7 = 12 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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