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Simplifying 7z + 13 = 3z + 5 Reorder the terms: 13 + 7z = 3z + 5 Reorder the terms: 13 + 7z = 5 + 3z Solving 13 + 7z = 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. 13 + 7z + -3z = 5 + 3z + -3z Combine like terms: 7z + -3z = 4z 13 + 4z = 5 + 3z + -3z Combine like terms: 3z + -3z = 0 13 + 4z = 5 + 0 13 + 4z = 5 Add '-13' to each side of the equation. 13 + -13 + 4z = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 4z = 5 + -13 4z = 5 + -13 Combine like terms: 5 + -13 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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