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Simplifying 7z + 13 = 2z + 14 Reorder the terms: 13 + 7z = 2z + 14 Reorder the terms: 13 + 7z = 14 + 2z Solving 13 + 7z = 14 + 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. 13 + 7z + -2z = 14 + 2z + -2z Combine like terms: 7z + -2z = 5z 13 + 5z = 14 + 2z + -2z Combine like terms: 2z + -2z = 0 13 + 5z = 14 + 0 13 + 5z = 14 Add '-13' to each side of the equation. 13 + -13 + 5z = 14 + -13 Combine like terms: 13 + -13 = 0 0 + 5z = 14 + -13 5z = 14 + -13 Combine like terms: 14 + -13 = 1 5z = 1 Divide each side by '5'. z = 0.2 Simplifying z = 0.2
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