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Simplifying (5 + 9) + -1(3 + -13) = 2(11 + t) Combine like terms: 5 + 9 = 14 (14) + -1(3 + -13) = 2(11 + t) 14 + -1(3 + -13) = 2(11 + t) Combine like terms: 3 + -13 = -10 14 + -1(-10) = 2(11 + t) Multiply -1 * -10 14 + 10 = 2(11 + t) Combine like terms: 14 + 10 = 24 24 = 2(11 + t) 24 = (11 * 2 + t * 2) 24 = (22 + 2t) Solving 24 = 22 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 24 + -2t = 22 + 2t + -2t Combine like terms: 2t + -2t = 0 24 + -2t = 22 + 0 24 + -2t = 22 Add '-24' to each side of the equation. 24 + -24 + -2t = 22 + -24 Combine like terms: 24 + -24 = 0 0 + -2t = 22 + -24 -2t = 22 + -24 Combine like terms: 22 + -24 = -2 -2t = -2 Divide each side by '-2'. t = 1 Simplifying t = 1
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