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Simplifying 47 = 8z + -9 Reorder the terms: 47 = -9 + 8z Solving 47 = -9 + 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. 47 + -8z = -9 + 8z + -8z Combine like terms: 8z + -8z = 0 47 + -8z = -9 + 0 47 + -8z = -9 Add '-47' to each side of the equation. 47 + -47 + -8z = -9 + -47 Combine like terms: 47 + -47 = 0 0 + -8z = -9 + -47 -8z = -9 + -47 Combine like terms: -9 + -47 = -56 -8z = -56 Divide each side by '-8'. z = 7 Simplifying z = 7
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