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Simplifying 5(4 + -1t) + -1(2 + -3t) = 13 (4 * 5 + -1t * 5) + -1(2 + -3t) = 13 (20 + -5t) + -1(2 + -3t) = 13 20 + -5t + (2 * -1 + -3t * -1) = 13 20 + -5t + (-2 + 3t) = 13 Reorder the terms: 20 + -2 + -5t + 3t = 13 Combine like terms: 20 + -2 = 18 18 + -5t + 3t = 13 Combine like terms: -5t + 3t = -2t 18 + -2t = 13 Solving 18 + -2t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -2t = 13 + -18 Combine like terms: 18 + -18 = 0 0 + -2t = 13 + -18 -2t = 13 + -18 Combine like terms: 13 + -18 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5
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