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Simplifying -8z + -42 = 6z Reorder the terms: -42 + -8z = 6z Solving -42 + -8z = 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 + -8z + -6z = 6z + -6z Combine like terms: -8z + -6z = -14z -42 + -14z = 6z + -6z Combine like terms: 6z + -6z = 0 -42 + -14z = 0 Add '42' to each side of the equation. -42 + 42 + -14z = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -14z = 0 + 42 -14z = 0 + 42 Combine like terms: 0 + 42 = 42 -14z = 42 Divide each side by '-14'. z = -3 Simplifying z = -3
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