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Simplifying -8z + 7 + 5z = -47 Reorder the terms: 7 + -8z + 5z = -47 Combine like terms: -8z + 5z = -3z 7 + -3z = -47 Solving 7 + -3z = -47 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3z = -47 + -7 Combine like terms: 7 + -7 = 0 0 + -3z = -47 + -7 -3z = -47 + -7 Combine like terms: -47 + -7 = -54 -3z = -54 Divide each side by '-3'. z = 18 Simplifying z = 18
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