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Simplifying 8z + 10 = 7z + -2 Reorder the terms: 10 + 8z = 7z + -2 Reorder the terms: 10 + 8z = -2 + 7z Solving 10 + 8z = -2 + 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. 10 + 8z + -7z = -2 + 7z + -7z Combine like terms: 8z + -7z = 1z 10 + 1z = -2 + 7z + -7z Combine like terms: 7z + -7z = 0 10 + 1z = -2 + 0 10 + 1z = -2 Add '-10' to each side of the equation. 10 + -10 + 1z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = -2 + -10 1z = -2 + -10 Combine like terms: -2 + -10 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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