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Simplifying 7z + 7 = 5z + -10 Reorder the terms: 7 + 7z = 5z + -10 Reorder the terms: 7 + 7z = -10 + 5z Solving 7 + 7z = -10 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7 + 7z + -5z = -10 + 5z + -5z Combine like terms: 7z + -5z = 2z 7 + 2z = -10 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + 2z = -10 + 0 7 + 2z = -10 Add '-7' to each side of the equation. 7 + -7 + 2z = -10 + -7 Combine like terms: 7 + -7 = 0 0 + 2z = -10 + -7 2z = -10 + -7 Combine like terms: -10 + -7 = -17 2z = -17 Divide each side by '2'. z = -8.5 Simplifying z = -8.5
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