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Simplifying 13t + -5(5 + -2t) = 5(3t + -1) 13t + (5 * -5 + -2t * -5) = 5(3t + -1) 13t + (-25 + 10t) = 5(3t + -1) Reorder the terms: -25 + 13t + 10t = 5(3t + -1) Combine like terms: 13t + 10t = 23t -25 + 23t = 5(3t + -1) Reorder the terms: -25 + 23t = 5(-1 + 3t) -25 + 23t = (-1 * 5 + 3t * 5) -25 + 23t = (-5 + 15t) Solving -25 + 23t = -5 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. -25 + 23t + -15t = -5 + 15t + -15t Combine like terms: 23t + -15t = 8t -25 + 8t = -5 + 15t + -15t Combine like terms: 15t + -15t = 0 -25 + 8t = -5 + 0 -25 + 8t = -5 Add '25' to each side of the equation. -25 + 25 + 8t = -5 + 25 Combine like terms: -25 + 25 = 0 0 + 8t = -5 + 25 8t = -5 + 25 Combine like terms: -5 + 25 = 20 8t = 20 Divide each side by '8'. t = 2.5 Simplifying t = 2.5
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