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Simplifying 5(2t + -8) + 4t = 0 Reorder the terms: 5(-8 + 2t) + 4t = 0 (-8 * 5 + 2t * 5) + 4t = 0 (-40 + 10t) + 4t = 0 Combine like terms: 10t + 4t = 14t -40 + 14t = 0 Solving -40 + 14t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 14t = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 14t = 0 + 40 14t = 0 + 40 Combine like terms: 0 + 40 = 40 14t = 40 Divide each side by '14'. t = 2.857142857 Simplifying t = 2.857142857
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