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Simplifying 9(Z + 1) + 3Z = 11 + 4(2Z + -1) + -5 Reorder the terms: 9(1 + Z) + 3Z = 11 + 4(2Z + -1) + -5 (1 * 9 + Z * 9) + 3Z = 11 + 4(2Z + -1) + -5 (9 + 9Z) + 3Z = 11 + 4(2Z + -1) + -5 Combine like terms: 9Z + 3Z = 12Z 9 + 12Z = 11 + 4(2Z + -1) + -5 Reorder the terms: 9 + 12Z = 11 + 4(-1 + 2Z) + -5 9 + 12Z = 11 + (-1 * 4 + 2Z * 4) + -5 9 + 12Z = 11 + (-4 + 8Z) + -5 Reorder the terms: 9 + 12Z = 11 + -4 + -5 + 8Z Combine like terms: 11 + -4 = 7 9 + 12Z = 7 + -5 + 8Z Combine like terms: 7 + -5 = 2 9 + 12Z = 2 + 8Z Solving 9 + 12Z = 2 + 8Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8Z' to each side of the equation. 9 + 12Z + -8Z = 2 + 8Z + -8Z Combine like terms: 12Z + -8Z = 4Z 9 + 4Z = 2 + 8Z + -8Z Combine like terms: 8Z + -8Z = 0 9 + 4Z = 2 + 0 9 + 4Z = 2 Add '-9' to each side of the equation. 9 + -9 + 4Z = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 4Z = 2 + -9 4Z = 2 + -9 Combine like terms: 2 + -9 = -7 4Z = -7 Divide each side by '4'. Z = -1.75 Simplifying Z = -1.75
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