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Simplifying 3z + -7 = 13 + -2z Reorder the terms: -7 + 3z = 13 + -2z Solving -7 + 3z = 13 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -7 + 3z + 2z = 13 + -2z + 2z Combine like terms: 3z + 2z = 5z -7 + 5z = 13 + -2z + 2z Combine like terms: -2z + 2z = 0 -7 + 5z = 13 + 0 -7 + 5z = 13 Add '7' to each side of the equation. -7 + 7 + 5z = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = 13 + 7 5z = 13 + 7 Combine like terms: 13 + 7 = 20 5z = 20 Divide each side by '5'. z = 4 Simplifying z = 4
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