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Simplifying 4.6 = 8 + -0.034z Solving 4.6 = 8 + -0.034z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.034z' to each side of the equation. 4.6 + 0.034z = 8 + -0.034z + 0.034z Combine like terms: -0.034z + 0.034z = 0.000 4.6 + 0.034z = 8 + 0.000 4.6 + 0.034z = 8 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.034z = 8 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.034z = 8 + -4.6 0.034z = 8 + -4.6 Combine like terms: 8 + -4.6 = 3.4 0.034z = 3.4 Divide each side by '0.034'. z = 100 Simplifying z = 100
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