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Simplifying 4(3t + 2) + 5(2t + -3) = 0 Reorder the terms: 4(2 + 3t) + 5(2t + -3) = 0 (2 * 4 + 3t * 4) + 5(2t + -3) = 0 (8 + 12t) + 5(2t + -3) = 0 Reorder the terms: 8 + 12t + 5(-3 + 2t) = 0 8 + 12t + (-3 * 5 + 2t * 5) = 0 8 + 12t + (-15 + 10t) = 0 Reorder the terms: 8 + -15 + 12t + 10t = 0 Combine like terms: 8 + -15 = -7 -7 + 12t + 10t = 0 Combine like terms: 12t + 10t = 22t -7 + 22t = 0 Solving -7 + 22t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 22t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 22t = 0 + 7 22t = 0 + 7 Combine like terms: 0 + 7 = 7 22t = 7 Divide each side by '22'. t = 0.3181818182 Simplifying t = 0.3181818182
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