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Simplifying 3 + 16t + -2 = 8t + 100 + -3t Reorder the terms: 3 + -2 + 16t = 8t + 100 + -3t Combine like terms: 3 + -2 = 1 1 + 16t = 8t + 100 + -3t Reorder the terms: 1 + 16t = 100 + 8t + -3t Combine like terms: 8t + -3t = 5t 1 + 16t = 100 + 5t Solving 1 + 16t = 100 + 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. 1 + 16t + -5t = 100 + 5t + -5t Combine like terms: 16t + -5t = 11t 1 + 11t = 100 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + 11t = 100 + 0 1 + 11t = 100 Add '-1' to each side of the equation. 1 + -1 + 11t = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 11t = 100 + -1 11t = 100 + -1 Combine like terms: 100 + -1 = 99 11t = 99 Divide each side by '11'. t = 9 Simplifying t = 9
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