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Simplifying 3z + -17 = -47 + 8z Reorder the terms: -17 + 3z = -47 + 8z Solving -17 + 3z = -47 + 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. -17 + 3z + -8z = -47 + 8z + -8z Combine like terms: 3z + -8z = -5z -17 + -5z = -47 + 8z + -8z Combine like terms: 8z + -8z = 0 -17 + -5z = -47 + 0 -17 + -5z = -47 Add '17' to each side of the equation. -17 + 17 + -5z = -47 + 17 Combine like terms: -17 + 17 = 0 0 + -5z = -47 + 17 -5z = -47 + 17 Combine like terms: -47 + 17 = -30 -5z = -30 Divide each side by '-5'. z = 6 Simplifying z = 6
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