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Simplifying 7z + 2 = 8z + -5 Reorder the terms: 2 + 7z = 8z + -5 Reorder the terms: 2 + 7z = -5 + 8z Solving 2 + 7z = -5 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 2 + 7z + -8z = -5 + 8z + -8z Combine like terms: 7z + -8z = -1z 2 + -1z = -5 + 8z + -8z Combine like terms: 8z + -8z = 0 2 + -1z = -5 + 0 2 + -1z = -5 Add '-2' to each side of the equation. 2 + -2 + -1z = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = -5 + -2 -1z = -5 + -2 Combine like terms: -5 + -2 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7
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