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Simplifying x3 + -6x2 + 12t + -8 = 0 Reorder the terms: -8 + 12t + -6x2 + x3 = 0 Solving -8 + 12t + -6x2 + x3 = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 12t + -6x2 + 8 + x3 = 0 + 8 Reorder the terms: -8 + 8 + 12t + -6x2 + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 12t + -6x2 + x3 = 0 + 8 12t + -6x2 + x3 = 0 + 8 Combine like terms: 0 + 8 = 8 12t + -6x2 + x3 = 8 Add '6x2' to each side of the equation. 12t + -6x2 + 6x2 + x3 = 8 + 6x2 Combine like terms: -6x2 + 6x2 = 0 12t + 0 + x3 = 8 + 6x2 12t + x3 = 8 + 6x2 Add '-1x3' to each side of the equation. 12t + x3 + -1x3 = 8 + 6x2 + -1x3 Combine like terms: x3 + -1x3 = 0 12t + 0 = 8 + 6x2 + -1x3 12t = 8 + 6x2 + -1x3 Divide each side by '12'. t = 0.6666666667 + 0.5x2 + -0.08333333333x3 Simplifying t = 0.6666666667 + 0.5x2 + -0.08333333333x3
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