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Simplifying 5(2t + -1) + -6(4 + -4t) = 0 Reorder the terms: 5(-1 + 2t) + -6(4 + -4t) = 0 (-1 * 5 + 2t * 5) + -6(4 + -4t) = 0 (-5 + 10t) + -6(4 + -4t) = 0 -5 + 10t + (4 * -6 + -4t * -6) = 0 -5 + 10t + (-24 + 24t) = 0 Reorder the terms: -5 + -24 + 10t + 24t = 0 Combine like terms: -5 + -24 = -29 -29 + 10t + 24t = 0 Combine like terms: 10t + 24t = 34t -29 + 34t = 0 Solving -29 + 34t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 34t = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 34t = 0 + 29 34t = 0 + 29 Combine like terms: 0 + 29 = 29 34t = 29 Divide each side by '34'. t = 0.8529411765 Simplifying t = 0.8529411765
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