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Simplifying 36Z + 16Z + 20 = -25 + 22 + 35Z + 30Z + -21Z Reorder the terms: 20 + 36Z + 16Z = -25 + 22 + 35Z + 30Z + -21Z Combine like terms: 36Z + 16Z = 52Z 20 + 52Z = -25 + 22 + 35Z + 30Z + -21Z Combine like terms: -25 + 22 = -3 20 + 52Z = -3 + 35Z + 30Z + -21Z Combine like terms: 35Z + 30Z = 65Z 20 + 52Z = -3 + 65Z + -21Z Combine like terms: 65Z + -21Z = 44Z 20 + 52Z = -3 + 44Z Solving 20 + 52Z = -3 + 44Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-44Z' to each side of the equation. 20 + 52Z + -44Z = -3 + 44Z + -44Z Combine like terms: 52Z + -44Z = 8Z 20 + 8Z = -3 + 44Z + -44Z Combine like terms: 44Z + -44Z = 0 20 + 8Z = -3 + 0 20 + 8Z = -3 Add '-20' to each side of the equation. 20 + -20 + 8Z = -3 + -20 Combine like terms: 20 + -20 = 0 0 + 8Z = -3 + -20 8Z = -3 + -20 Combine like terms: -3 + -20 = -23 8Z = -23 Divide each side by '8'. Z = -2.875 Simplifying Z = -2.875
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