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Simplifying -34z + -89 = z + -41 Reorder the terms: -89 + -34z = z + -41 Reorder the terms: -89 + -34z = -41 + z Solving -89 + -34z = -41 + 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. -89 + -34z + -1z = -41 + z + -1z Combine like terms: -34z + -1z = -35z -89 + -35z = -41 + z + -1z Combine like terms: z + -1z = 0 -89 + -35z = -41 + 0 -89 + -35z = -41 Add '89' to each side of the equation. -89 + 89 + -35z = -41 + 89 Combine like terms: -89 + 89 = 0 0 + -35z = -41 + 89 -35z = -41 + 89 Combine like terms: -41 + 89 = 48 -35z = 48 Divide each side by '-35'. z = -1.371428571 Simplifying z = -1.371428571
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