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Simplifying 2(6t + -1) + -3(3t + -4) = 0 Reorder the terms: 2(-1 + 6t) + -3(3t + -4) = 0 (-1 * 2 + 6t * 2) + -3(3t + -4) = 0 (-2 + 12t) + -3(3t + -4) = 0 Reorder the terms: -2 + 12t + -3(-4 + 3t) = 0 -2 + 12t + (-4 * -3 + 3t * -3) = 0 -2 + 12t + (12 + -9t) = 0 Reorder the terms: -2 + 12 + 12t + -9t = 0 Combine like terms: -2 + 12 = 10 10 + 12t + -9t = 0 Combine like terms: 12t + -9t = 3t 10 + 3t = 0 Solving 10 + 3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = 0 + -10 3t = 0 + -10 Combine like terms: 0 + -10 = -10 3t = -10 Divide each side by '3'. t = -3.333333333 Simplifying t = -3.333333333
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