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Simplifying 8z + -7 = -2z + -17 + 5z Reorder the terms: -7 + 8z = -2z + -17 + 5z Reorder the terms: -7 + 8z = -17 + -2z + 5z Combine like terms: -2z + 5z = 3z -7 + 8z = -17 + 3z Solving -7 + 8z = -17 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -7 + 8z + -3z = -17 + 3z + -3z Combine like terms: 8z + -3z = 5z -7 + 5z = -17 + 3z + -3z Combine like terms: 3z + -3z = 0 -7 + 5z = -17 + 0 -7 + 5z = -17 Add '7' to each side of the equation. -7 + 7 + 5z = -17 + 7 Combine like terms: -7 + 7 = 0 0 + 5z = -17 + 7 5z = -17 + 7 Combine like terms: -17 + 7 = -10 5z = -10 Divide each side by '5'. z = -2 Simplifying z = -2
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