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Simplifying 4x + y + 6Z = 1 Reorder the terms: 6Z + 4x + y = 1 Solving 6Z + 4x + y = 1 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-4x' to each side of the equation. 6Z + 4x + -4x + y = 1 + -4x Combine like terms: 4x + -4x = 0 6Z + 0 + y = 1 + -4x 6Z + y = 1 + -4x Add '-1y' to each side of the equation. 6Z + y + -1y = 1 + -4x + -1y Combine like terms: y + -1y = 0 6Z + 0 = 1 + -4x + -1y 6Z = 1 + -4x + -1y Divide each side by '6'. Z = 0.1666666667 + -0.6666666667x + -0.1666666667y Simplifying Z = 0.1666666667 + -0.6666666667x + -0.1666666667y
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