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Simplifying 6x + 2y + 3Z = 6 Reorder the terms: 3Z + 6x + 2y = 6 Solving 3Z + 6x + 2y = 6 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-6x' to each side of the equation. 3Z + 6x + -6x + 2y = 6 + -6x Combine like terms: 6x + -6x = 0 3Z + 0 + 2y = 6 + -6x 3Z + 2y = 6 + -6x Add '-2y' to each side of the equation. 3Z + 2y + -2y = 6 + -6x + -2y Combine like terms: 2y + -2y = 0 3Z + 0 = 6 + -6x + -2y 3Z = 6 + -6x + -2y Divide each side by '3'. Z = 2 + -2x + -0.6666666667y Simplifying Z = 2 + -2x + -0.6666666667y
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