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Simplifying 8Z + -2x(3Z + 1) = 3Z + 1 Reorder the terms: 8Z + -2x(1 + 3Z) = 3Z + 1 8Z + (1 * -2x + 3Z * -2x) = 3Z + 1 8Z + (-2x + -6xZ) = 3Z + 1 Reorder the terms: 8Z + -2x + -6xZ = 1 + 3Z Solving 8Z + -2x + -6xZ = 1 + 3Z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-3Z' to each side of the equation. 8Z + -2x + -3Z + -6xZ = 1 + 3Z + -3Z Reorder the terms: 8Z + -3Z + -2x + -6xZ = 1 + 3Z + -3Z Combine like terms: 8Z + -3Z = 5Z 5Z + -2x + -6xZ = 1 + 3Z + -3Z Combine like terms: 3Z + -3Z = 0 5Z + -2x + -6xZ = 1 + 0 5Z + -2x + -6xZ = 1 Add '2x' to each side of the equation. 5Z + -2x + 2x + -6xZ = 1 + 2x Combine like terms: -2x + 2x = 0 5Z + 0 + -6xZ = 1 + 2x 5Z + -6xZ = 1 + 2x Reorder the terms: -1 + 5Z + -2x + -6xZ = 1 + 2x + -1 + -2x Reorder the terms: -1 + 5Z + -2x + -6xZ = 1 + -1 + 2x + -2x Combine like terms: 1 + -1 = 0 -1 + 5Z + -2x + -6xZ = 0 + 2x + -2x -1 + 5Z + -2x + -6xZ = 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 5Z + -2x + -6xZ = 0 The solution to this equation could not be determined.
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