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Simplifying 11 + -2(3 + -2t) = 2t + 9 11 + (3 * -2 + -2t * -2) = 2t + 9 11 + (-6 + 4t) = 2t + 9 Combine like terms: 11 + -6 = 5 5 + 4t = 2t + 9 Reorder the terms: 5 + 4t = 9 + 2t Solving 5 + 4t = 9 + 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. 5 + 4t + -2t = 9 + 2t + -2t Combine like terms: 4t + -2t = 2t 5 + 2t = 9 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 2t = 9 + 0 5 + 2t = 9 Add '-5' to each side of the equation. 5 + -5 + 2t = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = 9 + -5 2t = 9 + -5 Combine like terms: 9 + -5 = 4 2t = 4 Divide each side by '2'. t = 2 Simplifying t = 2
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