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Simplifying 3t + 8(2t + 6) = 2 + 14t Reorder the terms: 3t + 8(6 + 2t) = 2 + 14t 3t + (6 * 8 + 2t * 8) = 2 + 14t 3t + (48 + 16t) = 2 + 14t Reorder the terms: 48 + 3t + 16t = 2 + 14t Combine like terms: 3t + 16t = 19t 48 + 19t = 2 + 14t Solving 48 + 19t = 2 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. 48 + 19t + -14t = 2 + 14t + -14t Combine like terms: 19t + -14t = 5t 48 + 5t = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 48 + 5t = 2 + 0 48 + 5t = 2 Add '-48' to each side of the equation. 48 + -48 + 5t = 2 + -48 Combine like terms: 48 + -48 = 0 0 + 5t = 2 + -48 5t = 2 + -48 Combine like terms: 2 + -48 = -46 5t = -46 Divide each side by '5'. t = -9.2 Simplifying t = -9.2
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