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Simplifying (5t + 9) + -1(3t + -13) = 2(11 + t) Reorder the terms: (9 + 5t) + -1(3t + -13) = 2(11 + t) Remove parenthesis around (9 + 5t) 9 + 5t + -1(3t + -13) = 2(11 + t) Reorder the terms: 9 + 5t + -1(-13 + 3t) = 2(11 + t) 9 + 5t + (-13 * -1 + 3t * -1) = 2(11 + t) 9 + 5t + (13 + -3t) = 2(11 + t) Reorder the terms: 9 + 13 + 5t + -3t = 2(11 + t) Combine like terms: 9 + 13 = 22 22 + 5t + -3t = 2(11 + t) Combine like terms: 5t + -3t = 2t 22 + 2t = 2(11 + t) 22 + 2t = (11 * 2 + t * 2) 22 + 2t = (22 + 2t) Add '-22' to each side of the equation. 22 + -22 + 2t = 22 + -22 + 2t Combine like terms: 22 + -22 = 0 0 + 2t = 22 + -22 + 2t 2t = 22 + -22 + 2t Combine like terms: 22 + -22 = 0 2t = 0 + 2t 2t = 2t Add '-2t' to each side of the equation. 2t + -2t = 2t + -2t Combine like terms: 2t + -2t = 0 0 = 2t + -2t Combine like terms: 2t + -2t = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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