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Simplifying 5z + 2 = 7z + -8 Reorder the terms: 2 + 5z = 7z + -8 Reorder the terms: 2 + 5z = -8 + 7z Solving 2 + 5z = -8 + 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. 2 + 5z + -7z = -8 + 7z + -7z Combine like terms: 5z + -7z = -2z 2 + -2z = -8 + 7z + -7z Combine like terms: 7z + -7z = 0 2 + -2z = -8 + 0 2 + -2z = -8 Add '-2' to each side of the equation. 2 + -2 + -2z = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2z = -8 + -2 -2z = -8 + -2 Combine like terms: -8 + -2 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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