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Simplifying 4.3(t + -4) + -8(2 + -3t) = 0 Reorder the terms: 4.3(-4 + t) + -8(2 + -3t) = 0 (-4 * 4.3 + t * 4.3) + -8(2 + -3t) = 0 (-17.2 + 4.3t) + -8(2 + -3t) = 0 -17.2 + 4.3t + (2 * -8 + -3t * -8) = 0 -17.2 + 4.3t + (-16 + 24t) = 0 Reorder the terms: -17.2 + -16 + 4.3t + 24t = 0 Combine like terms: -17.2 + -16 = -33.2 -33.2 + 4.3t + 24t = 0 Combine like terms: 4.3t + 24t = 28.3t -33.2 + 28.3t = 0 Solving -33.2 + 28.3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '33.2' to each side of the equation. -33.2 + 33.2 + 28.3t = 0 + 33.2 Combine like terms: -33.2 + 33.2 = 0.0 0.0 + 28.3t = 0 + 33.2 28.3t = 0 + 33.2 Combine like terms: 0 + 33.2 = 33.2 28.3t = 33.2 Divide each side by '28.3'. t = 1.173144876 Simplifying t = 1.173144876
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