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Simplifying -18 + 6z + -6 = 10 + 8z Reorder the terms: -18 + -6 + 6z = 10 + 8z Combine like terms: -18 + -6 = -24 -24 + 6z = 10 + 8z Solving -24 + 6z = 10 + 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. -24 + 6z + -8z = 10 + 8z + -8z Combine like terms: 6z + -8z = -2z -24 + -2z = 10 + 8z + -8z Combine like terms: 8z + -8z = 0 -24 + -2z = 10 + 0 -24 + -2z = 10 Add '24' to each side of the equation. -24 + 24 + -2z = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -2z = 10 + 24 -2z = 10 + 24 Combine like terms: 10 + 24 = 34 -2z = 34 Divide each side by '-2'. z = -17 Simplifying z = -17
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