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Simplifying 9z + -7 = 5z + 13 Reorder the terms: -7 + 9z = 5z + 13 Reorder the terms: -7 + 9z = 13 + 5z Solving -7 + 9z = 13 + 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 + 9z + -5z = 13 + 5z + -5z Combine like terms: 9z + -5z = 4z -7 + 4z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 -7 + 4z = 13 + 0 -7 + 4z = 13 Add '7' to each side of the equation. -7 + 7 + 4z = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4z = 13 + 7 4z = 13 + 7 Combine like terms: 13 + 7 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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