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Simplifying 16z + 43 = 42 + -16z Reorder the terms: 43 + 16z = 42 + -16z Solving 43 + 16z = 42 + -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. 43 + 16z + 16z = 42 + -16z + 16z Combine like terms: 16z + 16z = 32z 43 + 32z = 42 + -16z + 16z Combine like terms: -16z + 16z = 0 43 + 32z = 42 + 0 43 + 32z = 42 Add '-43' to each side of the equation. 43 + -43 + 32z = 42 + -43 Combine like terms: 43 + -43 = 0 0 + 32z = 42 + -43 32z = 42 + -43 Combine like terms: 42 + -43 = -1 32z = -1 Divide each side by '32'. z = -0.03125 Simplifying z = -0.03125
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