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Simplifying 5(2t + -1) + 4t = 10 + -1 Reorder the terms: 5(-1 + 2t) + 4t = 10 + -1 (-1 * 5 + 2t * 5) + 4t = 10 + -1 (-5 + 10t) + 4t = 10 + -1 Combine like terms: 10t + 4t = 14t -5 + 14t = 10 + -1 Combine like terms: 10 + -1 = 9 -5 + 14t = 9 Solving -5 + 14t = 9 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 = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 14t = 9 + 5 14t = 9 + 5 Combine like terms: 9 + 5 = 14 14t = 14 Divide each side by '14'. t = 1 Simplifying t = 1
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