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Simplifying 8z + 15 = 7z + 13 Reorder the terms: 15 + 8z = 7z + 13 Reorder the terms: 15 + 8z = 13 + 7z Solving 15 + 8z = 13 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 15 + 8z + -7z = 13 + 7z + -7z Combine like terms: 8z + -7z = 1z 15 + 1z = 13 + 7z + -7z Combine like terms: 7z + -7z = 0 15 + 1z = 13 + 0 15 + 1z = 13 Add '-15' to each side of the equation. 15 + -15 + 1z = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 1z = 13 + -15 1z = 13 + -15 Combine like terms: 13 + -15 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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