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Simplifying 589 = 31(z + -956) Reorder the terms: 589 = 31(-956 + z) 589 = (-956 * 31 + z * 31) 589 = (-29636 + 31z) Solving 589 = -29636 + 31z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-31z' to each side of the equation. 589 + -31z = -29636 + 31z + -31z Combine like terms: 31z + -31z = 0 589 + -31z = -29636 + 0 589 + -31z = -29636 Add '-589' to each side of the equation. 589 + -589 + -31z = -29636 + -589 Combine like terms: 589 + -589 = 0 0 + -31z = -29636 + -589 -31z = -29636 + -589 Combine like terms: -29636 + -589 = -30225 -31z = -30225 Divide each side by '-31'. z = 975 Simplifying z = 975
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