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Simplifying 7z + -4 = 61 + 2z Reorder the terms: -4 + 7z = 61 + 2z Solving -4 + 7z = 61 + 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. -4 + 7z + -2z = 61 + 2z + -2z Combine like terms: 7z + -2z = 5z -4 + 5z = 61 + 2z + -2z Combine like terms: 2z + -2z = 0 -4 + 5z = 61 + 0 -4 + 5z = 61 Add '4' to each side of the equation. -4 + 4 + 5z = 61 + 4 Combine like terms: -4 + 4 = 0 0 + 5z = 61 + 4 5z = 61 + 4 Combine like terms: 61 + 4 = 65 5z = 65 Divide each side by '5'. z = 13 Simplifying z = 13
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