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Simplifying 7z + 5 = 8z + -10 Reorder the terms: 5 + 7z = 8z + -10 Reorder the terms: 5 + 7z = -10 + 8z Solving 5 + 7z = -10 + 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. 5 + 7z + -8z = -10 + 8z + -8z Combine like terms: 7z + -8z = -1z 5 + -1z = -10 + 8z + -8z Combine like terms: 8z + -8z = 0 5 + -1z = -10 + 0 5 + -1z = -10 Add '-5' to each side of the equation. 5 + -5 + -1z = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -10 + -5 -1z = -10 + -5 Combine like terms: -10 + -5 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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