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Simplifying -8z + 5z + -17 = -47 Reorder the terms: -17 + -8z + 5z = -47 Combine like terms: -8z + 5z = -3z -17 + -3z = -47 Solving -17 + -3z = -47 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3z = -47 + 17 Combine like terms: -17 + 17 = 0 0 + -3z = -47 + 17 -3z = -47 + 17 Combine like terms: -47 + 17 = -30 -3z = -30 Divide each side by '-3'. z = 10 Simplifying z = 10
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