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Simplifying 7 + 11t + -4 = 8 + 35 + -5t Reorder the terms: 7 + -4 + 11t = 8 + 35 + -5t Combine like terms: 7 + -4 = 3 3 + 11t = 8 + 35 + -5t Combine like terms: 8 + 35 = 43 3 + 11t = 43 + -5t Solving 3 + 11t = 43 + -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. 3 + 11t + 5t = 43 + -5t + 5t Combine like terms: 11t + 5t = 16t 3 + 16t = 43 + -5t + 5t Combine like terms: -5t + 5t = 0 3 + 16t = 43 + 0 3 + 16t = 43 Add '-3' to each side of the equation. 3 + -3 + 16t = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 16t = 43 + -3 16t = 43 + -3 Combine like terms: 43 + -3 = 40 16t = 40 Divide each side by '16'. t = 2.5 Simplifying t = 2.5
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