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Simplifying z + -172 = -6z + -4 Reorder the terms: -172 + z = -6z + -4 Reorder the terms: -172 + z = -4 + -6z Solving -172 + z = -4 + -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. -172 + z + 6z = -4 + -6z + 6z Combine like terms: z + 6z = 7z -172 + 7z = -4 + -6z + 6z Combine like terms: -6z + 6z = 0 -172 + 7z = -4 + 0 -172 + 7z = -4 Add '172' to each side of the equation. -172 + 172 + 7z = -4 + 172 Combine like terms: -172 + 172 = 0 0 + 7z = -4 + 172 7z = -4 + 172 Combine like terms: -4 + 172 = 168 7z = 168 Divide each side by '7'. z = 24 Simplifying z = 24
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