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Simplifying (12t + -2) * 3 = 0 Reorder the terms: (-2 + 12t) * 3 = 0 Reorder the terms for easier multiplication: 3(-2 + 12t) = 0 (-2 * 3 + 12t * 3) = 0 (-6 + 36t) = 0 Solving -6 + 36t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 36t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 36t = 0 + 6 36t = 0 + 6 Combine like terms: 0 + 6 = 6 36t = 6 Divide each side by '36'. t = 0.1666666667 Simplifying t = 0.1666666667
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