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Simplifying (10t + -5t + 14) + (11t + -8) = 0 Reorder the terms: (14 + 10t + -5t) + (11t + -8) = 0 Combine like terms: 10t + -5t = 5t (14 + 5t) + (11t + -8) = 0 Remove parenthesis around (14 + 5t) 14 + 5t + (11t + -8) = 0 Reorder the terms: 14 + 5t + (-8 + 11t) = 0 Remove parenthesis around (-8 + 11t) 14 + 5t + -8 + 11t = 0 Reorder the terms: 14 + -8 + 5t + 11t = 0 Combine like terms: 14 + -8 = 6 6 + 5t + 11t = 0 Combine like terms: 5t + 11t = 16t 6 + 16t = 0 Solving 6 + 16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 16t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 16t = 0 + -6 16t = 0 + -6 Combine like terms: 0 + -6 = -6 16t = -6 Divide each side by '16'. t = -0.375 Simplifying t = -0.375
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