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Simplifying z + -9 = 2z + -41 Reorder the terms: -9 + z = 2z + -41 Reorder the terms: -9 + z = -41 + 2z Solving -9 + z = -41 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -9 + z + -2z = -41 + 2z + -2z Combine like terms: z + -2z = -1z -9 + -1z = -41 + 2z + -2z Combine like terms: 2z + -2z = 0 -9 + -1z = -41 + 0 -9 + -1z = -41 Add '9' to each side of the equation. -9 + 9 + -1z = -41 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = -41 + 9 -1z = -41 + 9 Combine like terms: -41 + 9 = -32 -1z = -32 Divide each side by '-1'. z = 32 Simplifying z = 32
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