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Simplifying 3(t + -4) + -8(2 + -3t) = 0 Reorder the terms: 3(-4 + t) + -8(2 + -3t) = 0 (-4 * 3 + t * 3) + -8(2 + -3t) = 0 (-12 + 3t) + -8(2 + -3t) = 0 -12 + 3t + (2 * -8 + -3t * -8) = 0 -12 + 3t + (-16 + 24t) = 0 Reorder the terms: -12 + -16 + 3t + 24t = 0 Combine like terms: -12 + -16 = -28 -28 + 3t + 24t = 0 Combine like terms: 3t + 24t = 27t -28 + 27t = 0 Solving -28 + 27t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 27t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 27t = 0 + 28 27t = 0 + 28 Combine like terms: 0 + 28 = 28 27t = 28 Divide each side by '27'. t = 1.037037037 Simplifying t = 1.037037037
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