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Simplifying 5(2t + -5) + 4t = 50 + -1t Reorder the terms: 5(-5 + 2t) + 4t = 50 + -1t (-5 * 5 + 2t * 5) + 4t = 50 + -1t (-25 + 10t) + 4t = 50 + -1t Combine like terms: 10t + 4t = 14t -25 + 14t = 50 + -1t Solving -25 + 14t = 50 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -25 + 14t + t = 50 + -1t + t Combine like terms: 14t + t = 15t -25 + 15t = 50 + -1t + t Combine like terms: -1t + t = 0 -25 + 15t = 50 + 0 -25 + 15t = 50 Add '25' to each side of the equation. -25 + 25 + 15t = 50 + 25 Combine like terms: -25 + 25 = 0 0 + 15t = 50 + 25 15t = 50 + 25 Combine like terms: 50 + 25 = 75 15t = 75 Divide each side by '15'. t = 5 Simplifying t = 5
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