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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 + 2 + 3t + 16t = 14t Combine like terms: -48 + 2 = -46 -46 + 3t + 16t = 14t Combine like terms: 3t + 16t = 19t -46 + 19t = 14t Solving -46 + 19t = 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. -46 + 19t + -14t = 14t + -14t Combine like terms: 19t + -14t = 5t -46 + 5t = 14t + -14t Combine like terms: 14t + -14t = 0 -46 + 5t = 0 Add '46' to each side of the equation. -46 + 46 + 5t = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 5t = 0 + 46 5t = 0 + 46 Combine like terms: 0 + 46 = 46 5t = 46 Divide each side by '5'. t = 9.2 Simplifying t = 9.2
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