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Simplifying 46 = -2 + 8z Solving 46 = -2 + 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. 46 + -8z = -2 + 8z + -8z Combine like terms: 8z + -8z = 0 46 + -8z = -2 + 0 46 + -8z = -2 Add '-46' to each side of the equation. 46 + -46 + -8z = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -8z = -2 + -46 -8z = -2 + -46 Combine like terms: -2 + -46 = -48 -8z = -48 Divide each side by '-8'. z = 6 Simplifying z = 6
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