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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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