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Simplifying 42 = z + -8z Combine like terms: z + -8z = -7z 42 = -7z Solving 42 = -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 42 + 7z = -7z + 7z Combine like terms: -7z + 7z = 0 42 + 7z = 0 Add '-42' to each side of the equation. 42 + -42 + 7z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 7z = 0 + -42 7z = 0 + -42 Combine like terms: 0 + -42 = -42 7z = -42 Divide each side by '7'. z = -6 Simplifying z = -6
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