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Simplifying -6(4 + -1t) = -12t (4 * -6 + -1t * -6) = -12t (-24 + 6t) = -12t Solving -24 + 6t = -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. -24 + 6t + 12t = -12t + 12t Combine like terms: 6t + 12t = 18t -24 + 18t = -12t + 12t Combine like terms: -12t + 12t = 0 -24 + 18t = 0 Add '24' to each side of the equation. -24 + 24 + 18t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 18t = 0 + 24 18t = 0 + 24 Combine like terms: 0 + 24 = 24 18t = 24 Divide each side by '18'. t = 1.333333333 Simplifying t = 1.333333333
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