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