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Simplifying z + -174 = 8z + -6 Reorder the terms: -174 + z = 8z + -6 Reorder the terms: -174 + z = -6 + 8z Solving -174 + z = -6 + 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. -174 + z + -8z = -6 + 8z + -8z Combine like terms: z + -8z = -7z -174 + -7z = -6 + 8z + -8z Combine like terms: 8z + -8z = 0 -174 + -7z = -6 + 0 -174 + -7z = -6 Add '174' to each side of the equation. -174 + 174 + -7z = -6 + 174 Combine like terms: -174 + 174 = 0 0 + -7z = -6 + 174 -7z = -6 + 174 Combine like terms: -6 + 174 = 168 -7z = 168 Divide each side by '-7'. z = -24 Simplifying z = -24
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