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Simplifying z + -6 = -4z + -41 Reorder the terms: -6 + z = -4z + -41 Reorder the terms: -6 + z = -41 + -4z Solving -6 + z = -41 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -6 + z + 4z = -41 + -4z + 4z Combine like terms: z + 4z = 5z -6 + 5z = -41 + -4z + 4z Combine like terms: -4z + 4z = 0 -6 + 5z = -41 + 0 -6 + 5z = -41 Add '6' to each side of the equation. -6 + 6 + 5z = -41 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = -41 + 6 5z = -41 + 6 Combine like terms: -41 + 6 = -35 5z = -35 Divide each side by '5'. z = -7 Simplifying z = -7
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