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