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Simplifying 8z + 13 = 7z + 7 Reorder the terms: 13 + 8z = 7z + 7 Reorder the terms: 13 + 8z = 7 + 7z Solving 13 + 8z = 7 + 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. 13 + 8z + -7z = 7 + 7z + -7z Combine like terms: 8z + -7z = 1z 13 + 1z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 13 + 1z = 7 + 0 13 + 1z = 7 Add '-13' to each side of the equation. 13 + -13 + 1z = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 7 + -13 1z = 7 + -13 Combine like terms: 7 + -13 = -6 1z = -6 Divide each side by '1'. z = -6 Simplifying z = -6
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