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Simplifying 11 + -2(5t + -8) = -2t Reorder the terms: 11 + -2(-8 + 5t) = -2t 11 + (-8 * -2 + 5t * -2) = -2t 11 + (16 + -10t) = -2t Combine like terms: 11 + 16 = 27 27 + -10t = -2t Solving 27 + -10t = -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. 27 + -10t + 2t = -2t + 2t Combine like terms: -10t + 2t = -8t 27 + -8t = -2t + 2t Combine like terms: -2t + 2t = 0 27 + -8t = 0 Add '-27' to each side of the equation. 27 + -27 + -8t = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -8t = 0 + -27 -8t = 0 + -27 Combine like terms: 0 + -27 = -27 -8t = -27 Divide each side by '-8'. t = 3.375 Simplifying t = 3.375
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