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Simplifying 5(2t + -1) + 4t = 1011 Reorder the terms: 5(-1 + 2t) + 4t = 1011 (-1 * 5 + 2t * 5) + 4t = 1011 (-5 + 10t) + 4t = 1011 Combine like terms: 10t + 4t = 14t -5 + 14t = 1011 Solving -5 + 14t = 1011 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 14t = 1011 + 5 Combine like terms: -5 + 5 = 0 0 + 14t = 1011 + 5 14t = 1011 + 5 Combine like terms: 1011 + 5 = 1016 14t = 1016 Divide each side by '14'. t = 72.57142857 Simplifying t = 72.57142857
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