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Simplifying 2t + -1(5 + -1t) = 13 + 2t 2t + (5 * -1 + -1t * -1) = 13 + 2t 2t + (-5 + 1t) = 13 + 2t Reorder the terms: -5 + 2t + 1t = 13 + 2t Combine like terms: 2t + 1t = 3t -5 + 3t = 13 + 2t Solving -5 + 3t = 13 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -5 + 3t + -2t = 13 + 2t + -2t Combine like terms: 3t + -2t = 1t -5 + 1t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 -5 + 1t = 13 + 0 -5 + 1t = 13 Add '5' to each side of the equation. -5 + 5 + 1t = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 1t = 13 + 5 1t = 13 + 5 Combine like terms: 13 + 5 = 18 1t = 18 Divide each side by '1'. t = 18 Simplifying t = 18
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