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Simplifying 2xy + 6xz + -12xd = 0 Reorder the terms: -12dx + 2xy + 6xz = 0 Solving -12dx + 2xy + 6xz = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2xy' to each side of the equation. -12dx + 2xy + -2xy + 6xz = 0 + -2xy Combine like terms: 2xy + -2xy = 0 -12dx + 0 + 6xz = 0 + -2xy -12dx + 6xz = 0 + -2xy Remove the zero: -12dx + 6xz = -2xy Add '-6xz' to each side of the equation. -12dx + 6xz + -6xz = -2xy + -6xz Combine like terms: 6xz + -6xz = 0 -12dx + 0 = -2xy + -6xz -12dx = -2xy + -6xz Divide each side by '-12x'. d = 0.1666666667y + 0.5z Simplifying d = 0.1666666667y + 0.5z
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