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Simplifying 5(5 + -1t) + -1(3 + -3t) = 13 (5 * 5 + -1t * 5) + -1(3 + -3t) = 13 (25 + -5t) + -1(3 + -3t) = 13 25 + -5t + (3 * -1 + -3t * -1) = 13 25 + -5t + (-3 + 3t) = 13 Reorder the terms: 25 + -3 + -5t + 3t = 13 Combine like terms: 25 + -3 = 22 22 + -5t + 3t = 13 Combine like terms: -5t + 3t = -2t 22 + -2t = 13 Solving 22 + -2t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -2t = 13 + -22 Combine like terms: 22 + -22 = 0 0 + -2t = 13 + -22 -2t = 13 + -22 Combine like terms: 13 + -22 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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