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Simplifying 8 + 16t + -2 = 5t + 48 + -3t Reorder the terms: 8 + -2 + 16t = 5t + 48 + -3t Combine like terms: 8 + -2 = 6 6 + 16t = 5t + 48 + -3t Reorder the terms: 6 + 16t = 48 + 5t + -3t Combine like terms: 5t + -3t = 2t 6 + 16t = 48 + 2t Solving 6 + 16t = 48 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 6 + 16t + -2t = 48 + 2t + -2t Combine like terms: 16t + -2t = 14t 6 + 14t = 48 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + 14t = 48 + 0 6 + 14t = 48 Add '-6' to each side of the equation. 6 + -6 + 14t = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 14t = 48 + -6 14t = 48 + -6 Combine like terms: 48 + -6 = 42 14t = 42 Divide each side by '14'. t = 3 Simplifying t = 3
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