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Simplifying (X + -0.04)(Y + -1) + (X) = Z Reorder the terms: (-0.04 + X)(Y + -1) + (X) = Z Reorder the terms: (-0.04 + X)(-1 + Y) + (X) = Z Multiply (-0.04 + X) * (-1 + Y) (-0.04(-1 + Y) + X(-1 + Y)) + (X) = Z ((-1 * -0.04 + Y * -0.04) + X(-1 + Y)) + (X) = Z ((0.04 + -0.04Y) + X(-1 + Y)) + (X) = Z (0.04 + -0.04Y + (-1 * X + Y * X)) + (X) = Z (0.04 + -0.04Y + (-1X + XY)) + (X) = Z Reorder the terms: (0.04 + -1X + XY + -0.04Y) + (X) = Z (0.04 + -1X + XY + -0.04Y) + (X) = Z 0.04 + -1X + XY + -0.04Y + X = Z Reorder the terms: 0.04 + -1X + X + XY + -0.04Y = Z Combine like terms: -1X + X = 0 0.04 + 0 + XY + -0.04Y = Z 0.04 + XY + -0.04Y = Z Solving 0.04 + XY + -0.04Y = Z Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + XY + -0.04 + -0.04Y = -0.04 + Z Reorder the terms: 0.04 + -0.04 + XY + -0.04Y = -0.04 + Z Combine like terms: 0.04 + -0.04 = 0.00 0.00 + XY + -0.04Y = -0.04 + Z XY + -0.04Y = -0.04 + Z Add '0.04Y' to each side of the equation. XY + -0.04Y + 0.04Y = -0.04 + 0.04Y + Z Combine like terms: -0.04Y + 0.04Y = 0.00 XY + 0.00 = -0.04 + 0.04Y + Z XY = -0.04 + 0.04Y + Z Divide each side by 'Y'. X = -0.04Y-1 + 0.04 + Y-1Z Simplifying X = -0.04Y-1 + 0.04 + Y-1Z Reorder the terms: X = 0.04 + -0.04Y-1 + Y-1Z
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