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Simplifying 8z + -42 = 2z Reorder the terms: -42 + 8z = 2z Solving -42 + 8z = 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -42 + 8z + -2z = 2z + -2z Combine like terms: 8z + -2z = 6z -42 + 6z = 2z + -2z Combine like terms: 2z + -2z = 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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