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Simplifying 41z + -45 = z + -89 Reorder the terms: -45 + 41z = z + -89 Reorder the terms: -45 + 41z = -89 + z Solving -45 + 41z = -89 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -45 + 41z + -1z = -89 + z + -1z Combine like terms: 41z + -1z = 40z -45 + 40z = -89 + z + -1z Combine like terms: z + -1z = 0 -45 + 40z = -89 + 0 -45 + 40z = -89 Add '45' to each side of the equation. -45 + 45 + 40z = -89 + 45 Combine like terms: -45 + 45 = 0 0 + 40z = -89 + 45 40z = -89 + 45 Combine like terms: -89 + 45 = -44 40z = -44 Divide each side by '40'. z = -1.1 Simplifying z = -1.1
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