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Simplifying -42 = 9 + 8z Solving -42 = 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. -42 + -8z = 9 + 8z + -8z Combine like terms: 8z + -8z = 0 -42 + -8z = 9 + 0 -42 + -8z = 9 Add '42' to each side of the equation. -42 + 42 + -8z = 9 + 42 Combine like terms: -42 + 42 = 0 0 + -8z = 9 + 42 -8z = 9 + 42 Combine like terms: 9 + 42 = 51 -8z = 51 Divide each side by '-8'. z = -6.375 Simplifying z = -6.375
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