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Simplifying 8 + 5z = -2z + -48 Reorder the terms: 8 + 5z = -48 + -2z Solving 8 + 5z = -48 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 8 + 5z + 2z = -48 + -2z + 2z Combine like terms: 5z + 2z = 7z 8 + 7z = -48 + -2z + 2z Combine like terms: -2z + 2z = 0 8 + 7z = -48 + 0 8 + 7z = -48 Add '-8' to each side of the equation. 8 + -8 + 7z = -48 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = -48 + -8 7z = -48 + -8 Combine like terms: -48 + -8 = -56 7z = -56 Divide each side by '7'. z = -8 Simplifying z = -8
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