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Simplifying 5z + -7 = 13 + -3z Reorder the terms: -7 + 5z = 13 + -3z Solving -7 + 5z = 13 + -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 = 13 + -3z + 3z Combine like terms: 5z + 3z = 8z -7 + 8z = 13 + -3z + 3z Combine like terms: -3z + 3z = 0 -7 + 8z = 13 + 0 -7 + 8z = 13 Add '7' to each side of the equation. -7 + 7 + 8z = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 8z = 13 + 7 8z = 13 + 7 Combine like terms: 13 + 7 = 20 8z = 20 Divide each side by '8'. z = 2.5 Simplifying z = 2.5
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