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Simplifying (5t + 9) + -1(3t + -13) = 2 Reorder the terms: (9 + 5t) + -1(3t + -13) = 2 Remove parenthesis around (9 + 5t) 9 + 5t + -1(3t + -13) = 2 Reorder the terms: 9 + 5t + -1(-13 + 3t) = 2 9 + 5t + (-13 * -1 + 3t * -1) = 2 9 + 5t + (13 + -3t) = 2 Reorder the terms: 9 + 13 + 5t + -3t = 2 Combine like terms: 9 + 13 = 22 22 + 5t + -3t = 2 Combine like terms: 5t + -3t = 2t 22 + 2t = 2 Solving 22 + 2t = 2 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 = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 2t = 2 + -22 2t = 2 + -22 Combine like terms: 2 + -22 = -20 2t = -20 Divide each side by '2'. t = -10 Simplifying t = -10
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