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Simplifying 3(t + -4) + -1(2 + -3t) = 0 Reorder the terms: 3(-4 + t) + -1(2 + -3t) = 0 (-4 * 3 + t * 3) + -1(2 + -3t) = 0 (-12 + 3t) + -1(2 + -3t) = 0 -12 + 3t + (2 * -1 + -3t * -1) = 0 -12 + 3t + (-2 + 3t) = 0 Reorder the terms: -12 + -2 + 3t + 3t = 0 Combine like terms: -12 + -2 = -14 -14 + 3t + 3t = 0 Combine like terms: 3t + 3t = 6t -14 + 6t = 0 Solving -14 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6t = 0 + 14 6t = 0 + 14 Combine like terms: 0 + 14 = 14 6t = 14 Divide each side by '6'. t = 2.333333333 Simplifying t = 2.333333333
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