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Simplifying 2z + -18 = -42 + 8z Reorder the terms: -18 + 2z = -42 + 8z Solving -18 + 2z = -42 + 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. -18 + 2z + -8z = -42 + 8z + -8z Combine like terms: 2z + -8z = -6z -18 + -6z = -42 + 8z + -8z Combine like terms: 8z + -8z = 0 -18 + -6z = -42 + 0 -18 + -6z = -42 Add '18' to each side of the equation. -18 + 18 + -6z = -42 + 18 Combine like terms: -18 + 18 = 0 0 + -6z = -42 + 18 -6z = -42 + 18 Combine like terms: -42 + 18 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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