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Simplifying 2(1 + -8t) = 5 + -3(6t + 1) (1 * 2 + -8t * 2) = 5 + -3(6t + 1) (2 + -16t) = 5 + -3(6t + 1) Reorder the terms: 2 + -16t = 5 + -3(1 + 6t) 2 + -16t = 5 + (1 * -3 + 6t * -3) 2 + -16t = 5 + (-3 + -18t) Combine like terms: 5 + -3 = 2 2 + -16t = 2 + -18t Add '-2' to each side of the equation. 2 + -2 + -16t = 2 + -2 + -18t Combine like terms: 2 + -2 = 0 0 + -16t = 2 + -2 + -18t -16t = 2 + -2 + -18t Combine like terms: 2 + -2 = 0 -16t = 0 + -18t -16t = -18t Solving -16t = -18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18t' to each side of the equation. -16t + 18t = -18t + 18t Combine like terms: -16t + 18t = 2t 2t = -18t + 18t Combine like terms: -18t + 18t = 0 2t = 0 Divide each side by '2'. t = 0 Simplifying t = 0
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