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Simplifying (5t + 9) + -1(3t + -13) = (11 + t) Reorder the terms: (9 + 5t) + -1(3t + -13) = (11 + t) Remove parenthesis around (9 + 5t) 9 + 5t + -1(3t + -13) = (11 + t) Reorder the terms: 9 + 5t + -1(-13 + 3t) = (11 + t) 9 + 5t + (-13 * -1 + 3t * -1) = (11 + t) 9 + 5t + (13 + -3t) = (11 + t) Reorder the terms: 9 + 13 + 5t + -3t = (11 + t) Combine like terms: 9 + 13 = 22 22 + 5t + -3t = (11 + t) Combine like terms: 5t + -3t = 2t 22 + 2t = (11 + t) Remove parenthesis around (11 + t) 22 + 2t = 11 + t Solving 22 + 2t = 11 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 22 + 2t + -1t = 11 + t + -1t Combine like terms: 2t + -1t = 1t 22 + 1t = 11 + t + -1t Combine like terms: t + -1t = 0 22 + 1t = 11 + 0 22 + 1t = 11 Add '-22' to each side of the equation. 22 + -22 + 1t = 11 + -22 Combine like terms: 22 + -22 = 0 0 + 1t = 11 + -22 1t = 11 + -22 Combine like terms: 11 + -22 = -11 1t = -11 Divide each side by '1'. t = -11 Simplifying t = -11
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