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Simplifying 2(8 + 5t) = 1 + 5t (8 * 2 + 5t * 2) = 1 + 5t (16 + 10t) = 1 + 5t Solving 16 + 10t = 1 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 16 + 10t + -5t = 1 + 5t + -5t Combine like terms: 10t + -5t = 5t 16 + 5t = 1 + 5t + -5t Combine like terms: 5t + -5t = 0 16 + 5t = 1 + 0 16 + 5t = 1 Add '-16' to each side of the equation. 16 + -16 + 5t = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 5t = 1 + -16 5t = 1 + -16 Combine like terms: 1 + -16 = -15 5t = -15 Divide each side by '5'. t = -3 Simplifying t = -3
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