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Simplifying 8 + 16t + -6 = 5t + 80 + -2t Reorder the terms: 8 + -6 + 16t = 5t + 80 + -2t Combine like terms: 8 + -6 = 2 2 + 16t = 5t + 80 + -2t Reorder the terms: 2 + 16t = 80 + 5t + -2t Combine like terms: 5t + -2t = 3t 2 + 16t = 80 + 3t Solving 2 + 16t = 80 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 2 + 16t + -3t = 80 + 3t + -3t Combine like terms: 16t + -3t = 13t 2 + 13t = 80 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 13t = 80 + 0 2 + 13t = 80 Add '-2' to each side of the equation. 2 + -2 + 13t = 80 + -2 Combine like terms: 2 + -2 = 0 0 + 13t = 80 + -2 13t = 80 + -2 Combine like terms: 80 + -2 = 78 13t = 78 Divide each side by '13'. t = 6 Simplifying t = 6
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